7x+5=12x-32+7

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Solution for 7x+5=12x-32+7 equation:


Simplifying
7x + 5 = 12x + -32 + 7

Reorder the terms:
5 + 7x = 12x + -32 + 7

Reorder the terms:
5 + 7x = -32 + 7 + 12x

Combine like terms: -32 + 7 = -25
5 + 7x = -25 + 12x

Solving
5 + 7x = -25 + 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.
5 + 7x + -12x = -25 + 12x + -12x

Combine like terms: 7x + -12x = -5x
5 + -5x = -25 + 12x + -12x

Combine like terms: 12x + -12x = 0
5 + -5x = -25 + 0
5 + -5x = -25

Add '-5' to each side of the equation.
5 + -5 + -5x = -25 + -5

Combine like terms: 5 + -5 = 0
0 + -5x = -25 + -5
-5x = -25 + -5

Combine like terms: -25 + -5 = -30
-5x = -30

Divide each side by '-5'.
x = 6

Simplifying
x = 6

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