6(-x-4)-18x+12=3(14-11x)

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Solution for 6(-x-4)-18x+12=3(14-11x) equation:


Simplifying
6(-1x + -4) + -18x + 12 = 3(14 + -11x)

Reorder the terms:
6(-4 + -1x) + -18x + 12 = 3(14 + -11x)
(-4 * 6 + -1x * 6) + -18x + 12 = 3(14 + -11x)
(-24 + -6x) + -18x + 12 = 3(14 + -11x)

Reorder the terms:
-24 + 12 + -6x + -18x = 3(14 + -11x)

Combine like terms: -24 + 12 = -12
-12 + -6x + -18x = 3(14 + -11x)

Combine like terms: -6x + -18x = -24x
-12 + -24x = 3(14 + -11x)
-12 + -24x = (14 * 3 + -11x * 3)
-12 + -24x = (42 + -33x)

Solving
-12 + -24x = 42 + -33x

Solving for variable 'x'.

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

Add '33x' to each side of the equation.
-12 + -24x + 33x = 42 + -33x + 33x

Combine like terms: -24x + 33x = 9x
-12 + 9x = 42 + -33x + 33x

Combine like terms: -33x + 33x = 0
-12 + 9x = 42 + 0
-12 + 9x = 42

Add '12' to each side of the equation.
-12 + 12 + 9x = 42 + 12

Combine like terms: -12 + 12 = 0
0 + 9x = 42 + 12
9x = 42 + 12

Combine like terms: 42 + 12 = 54
9x = 54

Divide each side by '9'.
x = 6

Simplifying
x = 6

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