11+7(2x-1)-9x=2(x+11)

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Solution for 11+7(2x-1)-9x=2(x+11) equation:


Simplifying
11 + 7(2x + -1) + -9x = 2(x + 11)

Reorder the terms:
11 + 7(-1 + 2x) + -9x = 2(x + 11)
11 + (-1 * 7 + 2x * 7) + -9x = 2(x + 11)
11 + (-7 + 14x) + -9x = 2(x + 11)

Combine like terms: 11 + -7 = 4
4 + 14x + -9x = 2(x + 11)

Combine like terms: 14x + -9x = 5x
4 + 5x = 2(x + 11)

Reorder the terms:
4 + 5x = 2(11 + x)
4 + 5x = (11 * 2 + x * 2)
4 + 5x = (22 + 2x)

Solving
4 + 5x = 22 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
4 + 5x + -2x = 22 + 2x + -2x

Combine like terms: 5x + -2x = 3x
4 + 3x = 22 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + 3x = 22 + 0
4 + 3x = 22

Add '-4' to each side of the equation.
4 + -4 + 3x = 22 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 22 + -4
3x = 22 + -4

Combine like terms: 22 + -4 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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