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

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


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

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

Combine like terms: 4x + x = 5x
2 + 5x = 3(x + -4) + 8

Reorder the terms:
2 + 5x = 3(-4 + x) + 8
2 + 5x = (-4 * 3 + x * 3) + 8
2 + 5x = (-12 + 3x) + 8

Reorder the terms:
2 + 5x = -12 + 8 + 3x

Combine like terms: -12 + 8 = -4
2 + 5x = -4 + 3x

Solving
2 + 5x = -4 + 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.
2 + 5x + -3x = -4 + 3x + -3x

Combine like terms: 5x + -3x = 2x
2 + 2x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + 2x = -4 + 0
2 + 2x = -4

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

Combine like terms: 2 + -2 = 0
0 + 2x = -4 + -2
2x = -4 + -2

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

Divide each side by '2'.
x = -3

Simplifying
x = -3

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