6-6(x-1)-7=7x+2

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Solution for 6-6(x-1)-7=7x+2 equation:


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

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

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

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

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

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

Solving
5 + -6x = 2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
5 + -6x + -7x = 2 + 7x + -7x

Combine like terms: -6x + -7x = -13x
5 + -13x = 2 + 7x + -7x

Combine like terms: 7x + -7x = 0
5 + -13x = 2 + 0
5 + -13x = 2

Add '-5' to each side of the equation.
5 + -5 + -13x = 2 + -5

Combine like terms: 5 + -5 = 0
0 + -13x = 2 + -5
-13x = 2 + -5

Combine like terms: 2 + -5 = -3
-13x = -3

Divide each side by '-13'.
x = 0.2307692308

Simplifying
x = 0.2307692308

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