5x+7=12x-7

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


Simplifying
5x + 7 = 12x + -7

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

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

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

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

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

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

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

Combine like terms: -7 + -7 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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