5x-12=x-40

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Solution for 5x-12=x-40 equation:


Simplifying
5x + -12 = x + -40

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

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

Solving
-12 + 5x = -40 + 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.
-12 + 5x + -1x = -40 + x + -1x

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

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

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

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

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

Divide each side by '4'.
x = -7

Simplifying
x = -7

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