11-33x=15-(3x-8+7x)+2(-6+11x)

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Solution for 11-33x=15-(3x-8+7x)+2(-6+11x) equation:


Simplifying
11 + -33x = 15 + -1(3x + -8 + 7x) + 2(-6 + 11x)

Reorder the terms:
11 + -33x = 15 + -1(-8 + 3x + 7x) + 2(-6 + 11x)

Combine like terms: 3x + 7x = 10x
11 + -33x = 15 + -1(-8 + 10x) + 2(-6 + 11x)
11 + -33x = 15 + (-8 * -1 + 10x * -1) + 2(-6 + 11x)
11 + -33x = 15 + (8 + -10x) + 2(-6 + 11x)
11 + -33x = 15 + 8 + -10x + (-6 * 2 + 11x * 2)
11 + -33x = 15 + 8 + -10x + (-12 + 22x)

Reorder the terms:
11 + -33x = 15 + 8 + -12 + -10x + 22x

Combine like terms: 15 + 8 = 23
11 + -33x = 23 + -12 + -10x + 22x

Combine like terms: 23 + -12 = 11
11 + -33x = 11 + -10x + 22x

Combine like terms: -10x + 22x = 12x
11 + -33x = 11 + 12x

Add '-11' to each side of the equation.
11 + -11 + -33x = 11 + -11 + 12x

Combine like terms: 11 + -11 = 0
0 + -33x = 11 + -11 + 12x
-33x = 11 + -11 + 12x

Combine like terms: 11 + -11 = 0
-33x = 0 + 12x
-33x = 12x

Solving
-33x = 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-33x + -12x = 12x + -12x

Combine like terms: -33x + -12x = -45x
-45x = 12x + -12x

Combine like terms: 12x + -12x = 0
-45x = 0

Divide each side by '-45'.
x = 0

Simplifying
x = 0

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