Pre-Algebra assist » Algebraic Equations » Two-Step Equations » Two-Step Equations with Fractions

Solve for

:

Explanation:

The goal is to isolate the change on one side.

Subtract

from every side that the equation:

Multiply both political parties by

:

Explanation:

The score is to isolate the variable to one side.

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First, convert mixed number to improper fractions:

Subtract

from both sides:

Multiply each side by the mutual of

:

Cross out favor terms and multiply:

come both sides:

come
. Remember that when you include fractions, you have to find typical denominator. The common denominator because that
and also
is
.
i do not care
once you main point both the numerator and also the denominator by
. Similarly,
i do not care
once you multiply both the numerator and the denominator through
.

Step 3: Multiply both political parties of the equation through the reciprocal of

:

Step 4: leveling the portion by dividing the numerator and the denominator through the Greatest usual Factor (GCF). The GCF that

and also
is
:

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### Example inquiry #1 : Two step Equations through Fractions

Solve for

:

Explanation:

You space trying to isolate the

To perform this friend must an initial subtract both sides by 2 come get

This climate becomes a one-step difficulty where you multiply both sides by 2 to get

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### Example inquiry #1 : Two action Equations through Fractions

Solve because that x:

Explanation:

Once you"ve isolated x, it"s vital to discover the lowest typical denominator so that you deserve to add the 2 fractions you"re functioning with.

Step 1: isolation x and also convert fountain so that they have a typical denominator

Step 2: solve for x

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### Example question #2 : Two action Equations v Fractions

Solve for

.

Explanation:

Cross multiplication is a short-cut that comes from multiplying through the denominators on both sides of an equation. Damaged down, it works choose this:

The 4"s ~ above the left next of the equation cancel out.

Now, carry out the very same with the denominator ~ above the ideal side.

The

"s on the best cancel out.

This is just the an outcome of removed the denominators, climate multiplying them on opposing sides, i.e. Cross multiplication.

Now, to finish solving for

, simplify both sides.

Then take it the square root to finish.

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### Example question #7 : Two step Equations v Fractions

Solve because that

:

Explanation:

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### Example inquiry #1 : Two step Equations with Fractions

Solve because that

.

Explanation:

First, you desire to leaving all terms with x ~ above one side and also all other terms top top the other side. To execute this, we can subtract 4/3 from both sides.

We currently have

We can now multiply both sides by the mutual of 2/5, which is 5/2, to be able to solve for just x.

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### Example inquiry #1 : Two action Equations with Fractions

Solve for

:

Explanation:

Explanation:

The score is to isolate the change to one side.

First, transform the combined numbers come improper fractions:

Subtract

from both sides:

Multiply every side by the reciprocal of

:

Report one Error

### Example concern #1 : Two step Equations through Fractions

Solve for "

"

Explanation:

1.) add 8 to both sides, removing the "

2.) main point both sides by 2, remove the

3.) Subtract

from both sides, removed the "

4.) division both sides by "

", resulting in

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