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

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


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

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

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

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

Combine like terms: 3 + 8 = 11
4 + 8x = 11 + 6x + -1x

Combine like terms: 6x + -1x = 5x
4 + 8x = 11 + 5x

Solving
4 + 8x = 11 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
4 + 8x + -5x = 11 + 5x + -5x

Combine like terms: 8x + -5x = 3x
4 + 3x = 11 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + 3x = 11 + 0
4 + 3x = 11

Add '-4' to each side of the equation.
4 + -4 + 3x = 11 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 11 + -4
3x = 11 + -4

Combine like terms: 11 + -4 = 7
3x = 7

Divide each side by '3'.
x = 2.333333333

Simplifying
x = 2.333333333

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