7x+12=2(5x-12)

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Solution for 7x+12=2(5x-12) equation:


Simplifying
7x + 12 = 2(5x + -12)

Reorder the terms:
12 + 7x = 2(5x + -12)

Reorder the terms:
12 + 7x = 2(-12 + 5x)
12 + 7x = (-12 * 2 + 5x * 2)
12 + 7x = (-24 + 10x)

Solving
12 + 7x = -24 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
12 + 7x + -10x = -24 + 10x + -10x

Combine like terms: 7x + -10x = -3x
12 + -3x = -24 + 10x + -10x

Combine like terms: 10x + -10x = 0
12 + -3x = -24 + 0
12 + -3x = -24

Add '-12' to each side of the equation.
12 + -12 + -3x = -24 + -12

Combine like terms: 12 + -12 = 0
0 + -3x = -24 + -12
-3x = -24 + -12

Combine like terms: -24 + -12 = -36
-3x = -36

Divide each side by '-3'.
x = 12

Simplifying
x = 12

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