-2x+11=3(x-5)+8x

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Solution for -2x+11=3(x-5)+8x equation: 


Simplifying
-2x + 11 = 3(x + -5) + 8x

Reorder the terms:
11 + -2x = 3(x + -5) + 8x

Reorder the terms:
11 + -2x = 3(-5 + x) + 8x
11 + -2x = (-5 * 3 + x * 3) + 8x
11 + -2x = (-15 + 3x) + 8x

Combine like terms: 3x + 8x = 11x
11 + -2x = -15 + 11x

Solving
11 + -2x = -15 + 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.
11 + -2x + -11x = -15 + 11x + -11x

Combine like terms: -2x + -11x = -13x
11 + -13x = -15 + 11x + -11x

Combine like terms: 11x + -11x = 0
11 + -13x = -15 + 0
11 + -13x = -15

Add '-11' to each side of the equation.
11 + -11 + -13x = -15 + -11

Combine like terms: 11 + -11 = 0
0 + -13x = -15 + -11
-13x = -15 + -11

Combine like terms: -15 + -11 = -26
-13x = -26

Divide each side by '-13'.
x = 2

Simplifying
x = 2

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