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

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


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

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

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

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

Combine like terms: 2 + 7 = 9
4 + 8x = 9 + 6x + -1x

Combine like terms: 6x + -1x = 5x
4 + 8x = 9 + 5x

Solving
4 + 8x = 9 + 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 = 9 + 5x + -5x

Combine like terms: 8x + -5x = 3x
4 + 3x = 9 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + 3x = 9 + 0
4 + 3x = 9

Add '-4' to each side of the equation.
4 + -4 + 3x = 9 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 9 + -4
3x = 9 + -4

Combine like terms: 9 + -4 = 5
3x = 5

Divide each side by '3'.
x = 1.666666667

Simplifying
x = 1.666666667

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