6(2-3x)+8=2-9x

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Solution for 6(2-3x)+8=2-9x equation:


Simplifying
6(2 + -3x) + 8 = 2 + -9x
(2 * 6 + -3x * 6) + 8 = 2 + -9x
(12 + -18x) + 8 = 2 + -9x

Reorder the terms:
12 + 8 + -18x = 2 + -9x

Combine like terms: 12 + 8 = 20
20 + -18x = 2 + -9x

Solving
20 + -18x = 2 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
20 + -18x + 9x = 2 + -9x + 9x

Combine like terms: -18x + 9x = -9x
20 + -9x = 2 + -9x + 9x

Combine like terms: -9x + 9x = 0
20 + -9x = 2 + 0
20 + -9x = 2

Add '-20' to each side of the equation.
20 + -20 + -9x = 2 + -20

Combine like terms: 20 + -20 = 0
0 + -9x = 2 + -20
-9x = 2 + -20

Combine like terms: 2 + -20 = -18
-9x = -18

Divide each side by '-9'.
x = 2

Simplifying
x = 2

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