5(x-8)=x-12

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Solution for 5(x-8)=x-12 equation:


Simplifying
5(x + -8) = x + -12

Reorder the terms:
5(-8 + x) = x + -12
(-8 * 5 + x * 5) = x + -12
(-40 + 5x) = x + -12

Reorder the terms:
-40 + 5x = -12 + x

Solving
-40 + 5x = -12 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
-40 + 5x + -1x = -12 + x + -1x

Combine like terms: 5x + -1x = 4x
-40 + 4x = -12 + x + -1x

Combine like terms: x + -1x = 0
-40 + 4x = -12 + 0
-40 + 4x = -12

Add '40' to each side of the equation.
-40 + 40 + 4x = -12 + 40

Combine like terms: -40 + 40 = 0
0 + 4x = -12 + 40
4x = -12 + 40

Combine like terms: -12 + 40 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7

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