11x-6=4(3x-3)

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Solution for 11x-6=4(3x-3) equation:


Simplifying
11x + -6 = 4(3x + -3)

Reorder the terms:
-6 + 11x = 4(3x + -3)

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

Solving
-6 + 11x = -12 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-6 + 11x + -12x = -12 + 12x + -12x

Combine like terms: 11x + -12x = -1x
-6 + -1x = -12 + 12x + -12x

Combine like terms: 12x + -12x = 0
-6 + -1x = -12 + 0
-6 + -1x = -12

Add '6' to each side of the equation.
-6 + 6 + -1x = -12 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = -12 + 6
-1x = -12 + 6

Combine like terms: -12 + 6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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