6(3x-6)-5x=8-2x

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Solution for 6(3x-6)-5x=8-2x equation:


Simplifying
6(3x + -6) + -5x = 8 + -2x

Reorder the terms:
6(-6 + 3x) + -5x = 8 + -2x
(-6 * 6 + 3x * 6) + -5x = 8 + -2x
(-36 + 18x) + -5x = 8 + -2x

Combine like terms: 18x + -5x = 13x
-36 + 13x = 8 + -2x

Solving
-36 + 13x = 8 + -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.
-36 + 13x + 2x = 8 + -2x + 2x

Combine like terms: 13x + 2x = 15x
-36 + 15x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
-36 + 15x = 8 + 0
-36 + 15x = 8

Add '36' to each side of the equation.
-36 + 36 + 15x = 8 + 36

Combine like terms: -36 + 36 = 0
0 + 15x = 8 + 36
15x = 8 + 36

Combine like terms: 8 + 36 = 44
15x = 44

Divide each side by '15'.
x = 2.933333333

Simplifying
x = 2.933333333

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