2(x-3)-8=-4(-6x+1)-7x

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Solution for 2(x-3)-8=-4(-6x+1)-7x equation:


Simplifying
2(x + -3) + -8 = -4(-6x + 1) + -7x

Reorder the terms:
2(-3 + x) + -8 = -4(-6x + 1) + -7x
(-3 * 2 + x * 2) + -8 = -4(-6x + 1) + -7x
(-6 + 2x) + -8 = -4(-6x + 1) + -7x

Reorder the terms:
-6 + -8 + 2x = -4(-6x + 1) + -7x

Combine like terms: -6 + -8 = -14
-14 + 2x = -4(-6x + 1) + -7x

Reorder the terms:
-14 + 2x = -4(1 + -6x) + -7x
-14 + 2x = (1 * -4 + -6x * -4) + -7x
-14 + 2x = (-4 + 24x) + -7x

Combine like terms: 24x + -7x = 17x
-14 + 2x = -4 + 17x

Solving
-14 + 2x = -4 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
-14 + 2x + -17x = -4 + 17x + -17x

Combine like terms: 2x + -17x = -15x
-14 + -15x = -4 + 17x + -17x

Combine like terms: 17x + -17x = 0
-14 + -15x = -4 + 0
-14 + -15x = -4

Add '14' to each side of the equation.
-14 + 14 + -15x = -4 + 14

Combine like terms: -14 + 14 = 0
0 + -15x = -4 + 14
-15x = -4 + 14

Combine like terms: -4 + 14 = 10
-15x = 10

Divide each side by '-15'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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