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

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


Simplifying
4(6 + -2x) + x = 3(x + -6) + -8
(6 * 4 + -2x * 4) + x = 3(x + -6) + -8
(24 + -8x) + x = 3(x + -6) + -8

Combine like terms: -8x + x = -7x
24 + -7x = 3(x + -6) + -8

Reorder the terms:
24 + -7x = 3(-6 + x) + -8
24 + -7x = (-6 * 3 + x * 3) + -8
24 + -7x = (-18 + 3x) + -8

Reorder the terms:
24 + -7x = -18 + -8 + 3x

Combine like terms: -18 + -8 = -26
24 + -7x = -26 + 3x

Solving
24 + -7x = -26 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
24 + -7x + -3x = -26 + 3x + -3x

Combine like terms: -7x + -3x = -10x
24 + -10x = -26 + 3x + -3x

Combine like terms: 3x + -3x = 0
24 + -10x = -26 + 0
24 + -10x = -26

Add '-24' to each side of the equation.
24 + -24 + -10x = -26 + -24

Combine like terms: 24 + -24 = 0
0 + -10x = -26 + -24
-10x = -26 + -24

Combine like terms: -26 + -24 = -50
-10x = -50

Divide each side by '-10'.
x = 5

Simplifying
x = 5

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