9-3(4-11x)=(5x+2)*6-12

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Solution for 9-3(4-11x)=(5x+2)*6-12 equation:


Simplifying
9 + -3(4 + -11x) = (5x + 2) * 6 + -12
9 + (4 * -3 + -11x * -3) = (5x + 2) * 6 + -12
9 + (-12 + 33x) = (5x + 2) * 6 + -12

Combine like terms: 9 + -12 = -3
-3 + 33x = (5x + 2) * 6 + -12

Reorder the terms:
-3 + 33x = (2 + 5x) * 6 + -12

Reorder the terms for easier multiplication:
-3 + 33x = 6(2 + 5x) + -12
-3 + 33x = (2 * 6 + 5x * 6) + -12
-3 + 33x = (12 + 30x) + -12

Reorder the terms:
-3 + 33x = 12 + -12 + 30x

Combine like terms: 12 + -12 = 0
-3 + 33x = 0 + 30x
-3 + 33x = 30x

Solving
-3 + 33x = 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
-3 + 33x + -30x = 30x + -30x

Combine like terms: 33x + -30x = 3x
-3 + 3x = 30x + -30x

Combine like terms: 30x + -30x = 0
-3 + 3x = 0

Add '3' to each side of the equation.
-3 + 3 + 3x = 0 + 3

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

Combine like terms: 0 + 3 = 3
3x = 3

Divide each side by '3'.
x = 1

Simplifying
x = 1

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