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

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


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

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

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

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

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

Combine like terms: 6x + -1x = 5x
3 + 8x = 11 + 5x

Solving
3 + 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.
3 + 8x + -5x = 11 + 5x + -5x

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

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

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

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

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

Divide each side by '3'.
x = 2.666666667

Simplifying
x = 2.666666667

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