6(3x+6)=20x-8

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Solution for 6(3x+6)=20x-8 equation:


Simplifying
6(3x + 6) = 20x + -8

Reorder the terms:
6(6 + 3x) = 20x + -8
(6 * 6 + 3x * 6) = 20x + -8
(36 + 18x) = 20x + -8

Reorder the terms:
36 + 18x = -8 + 20x

Solving
36 + 18x = -8 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
36 + 18x + -20x = -8 + 20x + -20x

Combine like terms: 18x + -20x = -2x
36 + -2x = -8 + 20x + -20x

Combine like terms: 20x + -20x = 0
36 + -2x = -8 + 0
36 + -2x = -8

Add '-36' to each side of the equation.
36 + -36 + -2x = -8 + -36

Combine like terms: 36 + -36 = 0
0 + -2x = -8 + -36
-2x = -8 + -36

Combine like terms: -8 + -36 = -44
-2x = -44

Divide each side by '-2'.
x = 22

Simplifying
x = 22

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