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

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


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

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

Reorder the terms:
12 + 7x = 2(-7 + 2x)
12 + 7x = (-7 * 2 + 2x * 2)
12 + 7x = (-14 + 4x)

Solving
12 + 7x = -14 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
12 + 7x + -4x = -14 + 4x + -4x

Combine like terms: 7x + -4x = 3x
12 + 3x = -14 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + 3x = -14 + 0
12 + 3x = -14

Add '-12' to each side of the equation.
12 + -12 + 3x = -14 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = -14 + -12
3x = -14 + -12

Combine like terms: -14 + -12 = -26
3x = -26

Divide each side by '3'.
x = -8.666666667

Simplifying
x = -8.666666667

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