3[2x-1]-2[3x+4]=11x

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Solution for 3[2x-1]-2[3x+4]=11x equation:


Simplifying
3[2x + -1] + -2[3x + 4] = 11x

Reorder the terms:
3[-1 + 2x] + -2[3x + 4] = 11x
[-1 * 3 + 2x * 3] + -2[3x + 4] = 11x
[-3 + 6x] + -2[3x + 4] = 11x

Reorder the terms:
-3 + 6x + -2[4 + 3x] = 11x
-3 + 6x + [4 * -2 + 3x * -2] = 11x
-3 + 6x + [-8 + -6x] = 11x

Reorder the terms:
-3 + -8 + 6x + -6x = 11x

Combine like terms: -3 + -8 = -11
-11 + 6x + -6x = 11x

Combine like terms: 6x + -6x = 0
-11 + 0 = 11x
-11 = 11x

Solving
-11 = 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.
-11 + -11x = 11x + -11x

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

Add '11' to each side of the equation.
-11 + 11 + -11x = 0 + 11

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

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

Divide each side by '-11'.
x = -1

Simplifying
x = -1

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