8x+2=3(2x+1)-x+9

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Solution for 8x+2=3(2x+1)-x+9 equation:


Simplifying
8x + 2 = 3(2x + 1) + -1x + 9

Reorder the terms:
2 + 8x = 3(2x + 1) + -1x + 9

Reorder the terms:
2 + 8x = 3(1 + 2x) + -1x + 9
2 + 8x = (1 * 3 + 2x * 3) + -1x + 9
2 + 8x = (3 + 6x) + -1x + 9

Reorder the terms:
2 + 8x = 3 + 9 + 6x + -1x

Combine like terms: 3 + 9 = 12
2 + 8x = 12 + 6x + -1x

Combine like terms: 6x + -1x = 5x
2 + 8x = 12 + 5x

Solving
2 + 8x = 12 + 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.
2 + 8x + -5x = 12 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
2 + 3x = 12 + 0
2 + 3x = 12

Add '-2' to each side of the equation.
2 + -2 + 3x = 12 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 12 + -2
3x = 12 + -2

Combine like terms: 12 + -2 = 10
3x = 10

Divide each side by '3'.
x = 3.333333333

Simplifying
x = 3.333333333

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