x-(8-5x)=11(x-1)

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Solution for x-(8-5x)=11(x-1) equation:


Simplifying
x + -1(8 + -5x) = 11(x + -1)
x + (8 * -1 + -5x * -1) = 11(x + -1)
x + (-8 + 5x) = 11(x + -1)

Reorder the terms:
-8 + x + 5x = 11(x + -1)

Combine like terms: x + 5x = 6x
-8 + 6x = 11(x + -1)

Reorder the terms:
-8 + 6x = 11(-1 + x)
-8 + 6x = (-1 * 11 + x * 11)
-8 + 6x = (-11 + 11x)

Solving
-8 + 6x = -11 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-8 + 6x + -11x = -11 + 11x + -11x

Combine like terms: 6x + -11x = -5x
-8 + -5x = -11 + 11x + -11x

Combine like terms: 11x + -11x = 0
-8 + -5x = -11 + 0
-8 + -5x = -11

Add '8' to each side of the equation.
-8 + 8 + -5x = -11 + 8

Combine like terms: -8 + 8 = 0
0 + -5x = -11 + 8
-5x = -11 + 8

Combine like terms: -11 + 8 = -3
-5x = -3

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6

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