5x-40=x-52

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Solution for 5x-40=x-52 equation:


Simplifying
5x + -40 = x + -52

Reorder the terms:
-40 + 5x = x + -52

Reorder the terms:
-40 + 5x = -52 + x

Solving
-40 + 5x = -52 + 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 = -52 + x + -1x

Combine like terms: 5x + -1x = 4x
-40 + 4x = -52 + x + -1x

Combine like terms: x + -1x = 0
-40 + 4x = -52 + 0
-40 + 4x = -52

Add '40' to each side of the equation.
-40 + 40 + 4x = -52 + 40

Combine like terms: -40 + 40 = 0
0 + 4x = -52 + 40
4x = -52 + 40

Combine like terms: -52 + 40 = -12
4x = -12

Divide each side by '4'.
x = -3

Simplifying
x = -3

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