-7(x+2)+2x+6=5x+12

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Solution for -7(x+2)+2x+6=5x+12 equation:


Simplifying
-7(x + 2) + 2x + 6 = 5x + 12

Reorder the terms:
-7(2 + x) + 2x + 6 = 5x + 12
(2 * -7 + x * -7) + 2x + 6 = 5x + 12
(-14 + -7x) + 2x + 6 = 5x + 12

Reorder the terms:
-14 + 6 + -7x + 2x = 5x + 12

Combine like terms: -14 + 6 = -8
-8 + -7x + 2x = 5x + 12

Combine like terms: -7x + 2x = -5x
-8 + -5x = 5x + 12

Reorder the terms:
-8 + -5x = 12 + 5x

Solving
-8 + -5x = 12 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-8 + -5x + -5x = 12 + 5x + -5x

Combine like terms: -5x + -5x = -10x
-8 + -10x = 12 + 5x + -5x

Combine like terms: 5x + -5x = 0
-8 + -10x = 12 + 0
-8 + -10x = 12

Add '8' to each side of the equation.
-8 + 8 + -10x = 12 + 8

Combine like terms: -8 + 8 = 0
0 + -10x = 12 + 8
-10x = 12 + 8

Combine like terms: 12 + 8 = 20
-10x = 20

Divide each side by '-10'.
x = -2

Simplifying
x = -2

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