11x-2(x-9)=11(x+2)-40

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Solution for 11x-2(x-9)=11(x+2)-40 equation:


Simplifying
11x + -2(x + -9) = 11(x + 2) + -40

Reorder the terms:
11x + -2(-9 + x) = 11(x + 2) + -40
11x + (-9 * -2 + x * -2) = 11(x + 2) + -40
11x + (18 + -2x) = 11(x + 2) + -40

Reorder the terms:
18 + 11x + -2x = 11(x + 2) + -40

Combine like terms: 11x + -2x = 9x
18 + 9x = 11(x + 2) + -40

Reorder the terms:
18 + 9x = 11(2 + x) + -40
18 + 9x = (2 * 11 + x * 11) + -40
18 + 9x = (22 + 11x) + -40

Reorder the terms:
18 + 9x = 22 + -40 + 11x

Combine like terms: 22 + -40 = -18
18 + 9x = -18 + 11x

Solving
18 + 9x = -18 + 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.
18 + 9x + -11x = -18 + 11x + -11x

Combine like terms: 9x + -11x = -2x
18 + -2x = -18 + 11x + -11x

Combine like terms: 11x + -11x = 0
18 + -2x = -18 + 0
18 + -2x = -18

Add '-18' to each side of the equation.
18 + -18 + -2x = -18 + -18

Combine like terms: 18 + -18 = 0
0 + -2x = -18 + -18
-2x = -18 + -18

Combine like terms: -18 + -18 = -36
-2x = -36

Divide each side by '-2'.
x = 18

Simplifying
x = 18

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