9+6x=2(-x+3)-13

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Solution for 9+6x=2(-x+3)-13 equation:


Simplifying
9 + 6x = 2(-1x + 3) + -13

Reorder the terms:
9 + 6x = 2(3 + -1x) + -13
9 + 6x = (3 * 2 + -1x * 2) + -13
9 + 6x = (6 + -2x) + -13

Reorder the terms:
9 + 6x = 6 + -13 + -2x

Combine like terms: 6 + -13 = -7
9 + 6x = -7 + -2x

Solving
9 + 6x = -7 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
9 + 6x + 2x = -7 + -2x + 2x

Combine like terms: 6x + 2x = 8x
9 + 8x = -7 + -2x + 2x

Combine like terms: -2x + 2x = 0
9 + 8x = -7 + 0
9 + 8x = -7

Add '-9' to each side of the equation.
9 + -9 + 8x = -7 + -9

Combine like terms: 9 + -9 = 0
0 + 8x = -7 + -9
8x = -7 + -9

Combine like terms: -7 + -9 = -16
8x = -16

Divide each side by '8'.
x = -2

Simplifying
x = -2

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