-2x-7/3=5/3

This deals with adding, subtracting and also finding the least typical multiple.


Step by step Solution

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Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : -2*x-7/3-(5/3)=0

Step by step solution :

Step 1 :

5 leveling — 3Equation in ~ the finish of step 1 : 7 5 (-2x - —) - — = 0 3 3

Step 2 :

7 leveling — 3Equation in ~ the end of action 2 : 7 5 (-2x - —) - — = 0 3 3

Step 3 :

Rewriting the totality as an Equivalent fraction :3.1Subtracting a fraction from a whole Rewrite the totality as a portion using 3 as the denominator :

-2x -2x • 3 -2x = ——— = ——————— 1 3 Equivalent portion : The fraction thus generated looks different yet has the very same value together the whole typical denominator : The equivalent fraction and the other portion involved in the calculation re-publishing the exact same denominator

Adding fountain that have a typical denominator :3.2 adding up the two equivalent fractions include the two indistinguishable fractions i m sorry now have actually a typical denominatorCombine the molecule together, put the amount or distinction over the common denominator then mitigate to lowest terms if possible:

-2x • 3 - (7) -6x - 7 ————————————— = ——————— 3 3 Equation at the finish of step 3 : (-6x - 7) 5 ————————— - — = 0 3 3

Step 4 :

Step 5 :

Pulling out choose terms :5.1 pull out prefer factors:-6x - 7=-1•(6x + 7)

Adding fountain which have a common denominator :5.2 adding fractions which have a typical denominatorCombine the numerators together, placed the amount or distinction over the common denominator then mitigate to lowest terms if possible:

(-6x-7) - (5) -6x - 12 ————————————— = ———————— 3 3

Step 6 :

Pulling out favor terms :6.1 traction out prefer factors:-6x - 12=-6•(x + 2)

Equation in ~ the finish of action 6 : -6 • (x + 2) ———————————— = 0 3

Step 7 :

When a portion equals zero :7.1 once a fraction equals zero ...Where a portion equals zero, its numerator, the part which is above the portion line, need to equal zero.Now,to remove the denominator, Tiger multiplys both sides of the equation by the denominator.Here"s how:

-6•(x+2) ———————— • 3 = 0 • 3 3 Now, ~ above the left hand side, the 3 cancels out the denominator, while, ~ above the right hand side, zero time anything is still zero.The equation now takes the shape:-6 • (x+2)=0

Equations i m sorry are never true:7.2Solve:-6=0This equation has actually no solution. A a non-zero constant never amounts to zero.

Solving a solitary Variable Equation:7.3Solve:x+2 = 0Subtract 2 from both political parties of the equation:x = -2