2(x-3)-8=-4(-3x-1)-4x

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Solution for 2(x-3)-8=-4(-3x-1)-4x equation:


Simplifying
2(x + -3) + -8 = -4(-3x + -1) + -4x

Reorder the terms:
2(-3 + x) + -8 = -4(-3x + -1) + -4x
(-3 * 2 + x * 2) + -8 = -4(-3x + -1) + -4x
(-6 + 2x) + -8 = -4(-3x + -1) + -4x

Reorder the terms:
-6 + -8 + 2x = -4(-3x + -1) + -4x

Combine like terms: -6 + -8 = -14
-14 + 2x = -4(-3x + -1) + -4x

Reorder the terms:
-14 + 2x = -4(-1 + -3x) + -4x
-14 + 2x = (-1 * -4 + -3x * -4) + -4x
-14 + 2x = (4 + 12x) + -4x

Combine like terms: 12x + -4x = 8x
-14 + 2x = 4 + 8x

Solving
-14 + 2x = 4 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-14 + 2x + -8x = 4 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
-14 + -6x = 4 + 0
-14 + -6x = 4

Add '14' to each side of the equation.
-14 + 14 + -6x = 4 + 14

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

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

Divide each side by '-6'.
x = -3

Simplifying
x = -3

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