2(2x-9)-3(4x-2)+11x=18

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Solution for 2(2x-9)-3(4x-2)+11x=18 equation: 


Simplifying
2(2x + -9) + -3(4x + -2) + 11x = 18

Reorder the terms:
2(-9 + 2x) + -3(4x + -2) + 11x = 18
(-9 * 2 + 2x * 2) + -3(4x + -2) + 11x = 18
(-18 + 4x) + -3(4x + -2) + 11x = 18

Reorder the terms:
-18 + 4x + -3(-2 + 4x) + 11x = 18
-18 + 4x + (-2 * -3 + 4x * -3) + 11x = 18
-18 + 4x + (6 + -12x) + 11x = 18

Reorder the terms:
-18 + 6 + 4x + -12x + 11x = 18

Combine like terms: -18 + 6 = -12
-12 + 4x + -12x + 11x = 18

Combine like terms: 4x + -12x = -8x
-12 + -8x + 11x = 18

Combine like terms: -8x + 11x = 3x
-12 + 3x = 18

Solving
-12 + 3x = 18

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 3x = 18 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = 18 + 12
3x = 18 + 12

Combine like terms: 18 + 12 = 30
3x = 30

Divide each side by '3'.
x = 10

Simplifying
x = 10

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