6(3x-6)-2x=-84

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Solution for 6(3x-6)-2x=-84 equation:


Simplifying
6(3x + -6) + -2x = -84

Reorder the terms:
6(-6 + 3x) + -2x = -84
(-6 * 6 + 3x * 6) + -2x = -84
(-36 + 18x) + -2x = -84

Combine like terms: 18x + -2x = 16x
-36 + 16x = -84

Solving
-36 + 16x = -84

Solving for variable 'x'.

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

Add '36' to each side of the equation.
-36 + 36 + 16x = -84 + 36

Combine like terms: -36 + 36 = 0
0 + 16x = -84 + 36
16x = -84 + 36

Combine like terms: -84 + 36 = -48
16x = -48

Divide each side by '16'.
x = -3

Simplifying
x = -3

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