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

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


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

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

Reorder the terms:
-6 + 18x = 2(-5 + 2x) + -8
-6 + 18x = (-5 * 2 + 2x * 2) + -8
-6 + 18x = (-10 + 4x) + -8

Reorder the terms:
-6 + 18x = -10 + -8 + 4x

Combine like terms: -10 + -8 = -18
-6 + 18x = -18 + 4x

Solving
-6 + 18x = -18 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-6 + 18x + -4x = -18 + 4x + -4x

Combine like terms: 18x + -4x = 14x
-6 + 14x = -18 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + 14x = -18 + 0
-6 + 14x = -18

Add '6' to each side of the equation.
-6 + 6 + 14x = -18 + 6

Combine like terms: -6 + 6 = 0
0 + 14x = -18 + 6
14x = -18 + 6

Combine like terms: -18 + 6 = -12
14x = -12

Divide each side by '14'.
x = -0.8571428571

Simplifying
x = -0.8571428571

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