2(x-3)-8=-4(-6x+7)-6x

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Solution for 2(x-3)-8=-4(-6x+7)-6x equation:


Simplifying
2(x + -3) + -8 = -4(-6x + 7) + -6x

Reorder the terms:
2(-3 + x) + -8 = -4(-6x + 7) + -6x
(-3 * 2 + x * 2) + -8 = -4(-6x + 7) + -6x
(-6 + 2x) + -8 = -4(-6x + 7) + -6x

Reorder the terms:
-6 + -8 + 2x = -4(-6x + 7) + -6x

Combine like terms: -6 + -8 = -14
-14 + 2x = -4(-6x + 7) + -6x

Reorder the terms:
-14 + 2x = -4(7 + -6x) + -6x
-14 + 2x = (7 * -4 + -6x * -4) + -6x
-14 + 2x = (-28 + 24x) + -6x

Combine like terms: 24x + -6x = 18x
-14 + 2x = -28 + 18x

Solving
-14 + 2x = -28 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-14 + 2x + -18x = -28 + 18x + -18x

Combine like terms: 2x + -18x = -16x
-14 + -16x = -28 + 18x + -18x

Combine like terms: 18x + -18x = 0
-14 + -16x = -28 + 0
-14 + -16x = -28

Add '14' to each side of the equation.
-14 + 14 + -16x = -28 + 14

Combine like terms: -14 + 14 = 0
0 + -16x = -28 + 14
-16x = -28 + 14

Combine like terms: -28 + 14 = -14
-16x = -14

Divide each side by '-16'.
x = 0.875

Simplifying
x = 0.875

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