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

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


Simplifying
2(6 + -1x) + x = 3(x + -8) + 4
(6 * 2 + -1x * 2) + x = 3(x + -8) + 4
(12 + -2x) + x = 3(x + -8) + 4

Combine like terms: -2x + x = -1x
12 + -1x = 3(x + -8) + 4

Reorder the terms:
12 + -1x = 3(-8 + x) + 4
12 + -1x = (-8 * 3 + x * 3) + 4
12 + -1x = (-24 + 3x) + 4

Reorder the terms:
12 + -1x = -24 + 4 + 3x

Combine like terms: -24 + 4 = -20
12 + -1x = -20 + 3x

Solving
12 + -1x = -20 + 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.
12 + -1x + -3x = -20 + 3x + -3x

Combine like terms: -1x + -3x = -4x
12 + -4x = -20 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + -4x = -20 + 0
12 + -4x = -20

Add '-12' to each side of the equation.
12 + -12 + -4x = -20 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = -20 + -12
-4x = -20 + -12

Combine like terms: -20 + -12 = -32
-4x = -32

Divide each side by '-4'.
x = 8

Simplifying
x = 8

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