6(3x-1)-2x=(2x-5)-8

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Solution for 6(3x-1)-2x=(2x-5)-8 equation:


Simplifying
6(3x + -1) + -2x = (2x + -5) + -8

Reorder the terms:
6(-1 + 3x) + -2x = (2x + -5) + -8
(-1 * 6 + 3x * 6) + -2x = (2x + -5) + -8
(-6 + 18x) + -2x = (2x + -5) + -8

Combine like terms: 18x + -2x = 16x
-6 + 16x = (2x + -5) + -8

Reorder the terms:
-6 + 16x = (-5 + 2x) + -8

Remove parenthesis around (-5 + 2x)
-6 + 16x = -5 + 2x + -8

Reorder the terms:
-6 + 16x = -5 + -8 + 2x

Combine like terms: -5 + -8 = -13
-6 + 16x = -13 + 2x

Solving
-6 + 16x = -13 + 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.
-6 + 16x + -2x = -13 + 2x + -2x

Combine like terms: 16x + -2x = 14x
-6 + 14x = -13 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 14x = -13 + 0
-6 + 14x = -13

Add '6' to each side of the equation.
-6 + 6 + 14x = -13 + 6

Combine like terms: -6 + 6 = 0
0 + 14x = -13 + 6
14x = -13 + 6

Combine like terms: -13 + 6 = -7
14x = -7

Divide each side by '14'.
x = -0.5

Simplifying
x = -0.5

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