4x+40=12x-52

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Solution for 4x+40=12x-52 equation:


Simplifying
4x + 40 = 12x + -52

Reorder the terms:
40 + 4x = 12x + -52

Reorder the terms:
40 + 4x = -52 + 12x

Solving
40 + 4x = -52 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
40 + 4x + -12x = -52 + 12x + -12x

Combine like terms: 4x + -12x = -8x
40 + -8x = -52 + 12x + -12x

Combine like terms: 12x + -12x = 0
40 + -8x = -52 + 0
40 + -8x = -52

Add '-40' to each side of the equation.
40 + -40 + -8x = -52 + -40

Combine like terms: 40 + -40 = 0
0 + -8x = -52 + -40
-8x = -52 + -40

Combine like terms: -52 + -40 = -92
-8x = -92

Divide each side by '-8'.
x = 11.5

Simplifying
x = 11.5

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