8x+7=2-(3x-6)

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Solution for 8x+7=2-(3x-6) equation:


Simplifying
8x + 7 = 2 + -1(3x + -6)

Reorder the terms:
7 + 8x = 2 + -1(3x + -6)

Reorder the terms:
7 + 8x = 2 + -1(-6 + 3x)
7 + 8x = 2 + (-6 * -1 + 3x * -1)
7 + 8x = 2 + (6 + -3x)

Combine like terms: 2 + 6 = 8
7 + 8x = 8 + -3x

Solving
7 + 8x = 8 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
7 + 8x + 3x = 8 + -3x + 3x

Combine like terms: 8x + 3x = 11x
7 + 11x = 8 + -3x + 3x

Combine like terms: -3x + 3x = 0
7 + 11x = 8 + 0
7 + 11x = 8

Add '-7' to each side of the equation.
7 + -7 + 11x = 8 + -7

Combine like terms: 7 + -7 = 0
0 + 11x = 8 + -7
11x = 8 + -7

Combine like terms: 8 + -7 = 1
11x = 1

Divide each side by '11'.
x = 0.09090909091

Simplifying
x = 0.09090909091

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