11-8(x+3)=x-2(1-x)

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Solution for 11-8(x+3)=x-2(1-x) equation:


Simplifying
11 + -8(x + 3) = x + -2(1 + -1x)

Reorder the terms:
11 + -8(3 + x) = x + -2(1 + -1x)
11 + (3 * -8 + x * -8) = x + -2(1 + -1x)
11 + (-24 + -8x) = x + -2(1 + -1x)

Combine like terms: 11 + -24 = -13
-13 + -8x = x + -2(1 + -1x)
-13 + -8x = x + (1 * -2 + -1x * -2)
-13 + -8x = x + (-2 + 2x)

Reorder the terms:
-13 + -8x = -2 + x + 2x

Combine like terms: x + 2x = 3x
-13 + -8x = -2 + 3x

Solving
-13 + -8x = -2 + 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.
-13 + -8x + -3x = -2 + 3x + -3x

Combine like terms: -8x + -3x = -11x
-13 + -11x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-13 + -11x = -2 + 0
-13 + -11x = -2

Add '13' to each side of the equation.
-13 + 13 + -11x = -2 + 13

Combine like terms: -13 + 13 = 0
0 + -11x = -2 + 13
-11x = -2 + 13

Combine like terms: -2 + 13 = 11
-11x = 11

Divide each side by '-11'.
x = -1

Simplifying
x = -1

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