7+2x=6(-x+8)-57

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Solution for 7+2x=6(-x+8)-57 equation:


Simplifying
7 + 2x = 6(-1x + 8) + -57

Reorder the terms:
7 + 2x = 6(8 + -1x) + -57
7 + 2x = (8 * 6 + -1x * 6) + -57
7 + 2x = (48 + -6x) + -57

Reorder the terms:
7 + 2x = 48 + -57 + -6x

Combine like terms: 48 + -57 = -9
7 + 2x = -9 + -6x

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

Solving for variable 'x'.

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

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

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

Combine like terms: -6x + 6x = 0
7 + 8x = -9 + 0
7 + 8x = -9

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

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

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

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

Simplifying
x = -2

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