7x+6-5(-2x-1)=5(x-1)

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Solution for 7x+6-5(-2x-1)=5(x-1) equation:


Simplifying
7x + 6 + -5(-2x + -1) = 5(x + -1)

Reorder the terms:
7x + 6 + -5(-1 + -2x) = 5(x + -1)
7x + 6 + (-1 * -5 + -2x * -5) = 5(x + -1)
7x + 6 + (5 + 10x) = 5(x + -1)

Reorder the terms:
6 + 5 + 7x + 10x = 5(x + -1)

Combine like terms: 6 + 5 = 11
11 + 7x + 10x = 5(x + -1)

Combine like terms: 7x + 10x = 17x
11 + 17x = 5(x + -1)

Reorder the terms:
11 + 17x = 5(-1 + x)
11 + 17x = (-1 * 5 + x * 5)
11 + 17x = (-5 + 5x)

Solving
11 + 17x = -5 + 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.
11 + 17x + -5x = -5 + 5x + -5x

Combine like terms: 17x + -5x = 12x
11 + 12x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
11 + 12x = -5 + 0
11 + 12x = -5

Add '-11' to each side of the equation.
11 + -11 + 12x = -5 + -11

Combine like terms: 11 + -11 = 0
0 + 12x = -5 + -11
12x = -5 + -11

Combine like terms: -5 + -11 = -16
12x = -16

Divide each side by '12'.
x = -1.333333333

Simplifying
x = -1.333333333

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