6(3x+2)=3x-20-x

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Solution for 6(3x+2)=3x-20-x equation:


Simplifying
6(3x + 2) = 3x + -20 + -1x

Reorder the terms:
6(2 + 3x) = 3x + -20 + -1x
(2 * 6 + 3x * 6) = 3x + -20 + -1x
(12 + 18x) = 3x + -20 + -1x

Reorder the terms:
12 + 18x = -20 + 3x + -1x

Combine like terms: 3x + -1x = 2x
12 + 18x = -20 + 2x

Solving
12 + 18x = -20 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
12 + 18x + -2x = -20 + 2x + -2x

Combine like terms: 18x + -2x = 16x
12 + 16x = -20 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 16x = -20 + 0
12 + 16x = -20

Add '-12' to each side of the equation.
12 + -12 + 16x = -20 + -12

Combine like terms: 12 + -12 = 0
0 + 16x = -20 + -12
16x = -20 + -12

Combine like terms: -20 + -12 = -32
16x = -32

Divide each side by '16'.
x = -2

Simplifying
x = -2

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