5x+32=12x-52

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Solution for 5x+32=12x-52 equation:


Simplifying
5x + 32 = 12x + -52

Reorder the terms:
32 + 5x = 12x + -52

Reorder the terms:
32 + 5x = -52 + 12x

Solving
32 + 5x = -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.
32 + 5x + -12x = -52 + 12x + -12x

Combine like terms: 5x + -12x = -7x
32 + -7x = -52 + 12x + -12x

Combine like terms: 12x + -12x = 0
32 + -7x = -52 + 0
32 + -7x = -52

Add '-32' to each side of the equation.
32 + -32 + -7x = -52 + -32

Combine like terms: 32 + -32 = 0
0 + -7x = -52 + -32
-7x = -52 + -32

Combine like terms: -52 + -32 = -84
-7x = -84

Divide each side by '-7'.
x = 12

Simplifying
x = 12

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