8x-2x+2=.333333333333(9x+3)+7

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Solution for 8x-2x+2=.333333333333(9x+3)+7 equation:


Simplifying
8x + -2x + 2 = 0.333333333333(9x + 3) + 7

Reorder the terms:
2 + 8x + -2x = 0.333333333333(9x + 3) + 7

Combine like terms: 8x + -2x = 6x
2 + 6x = 0.333333333333(9x + 3) + 7

Reorder the terms:
2 + 6x = 0.333333333333(3 + 9x) + 7
2 + 6x = (3 * 0.333333333333 + 9x * 0.333333333333) + 7
2 + 6x = (1 + 3x) + 7

Reorder the terms:
2 + 6x = 1 + 7 + 3x

Combine like terms: 1 + 7 = 8
2 + 6x = 8 + 3x

Solving
2 + 6x = 8 + 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 + 6x + -3x = 8 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
2 + 3x = 8 + 0
2 + 3x = 8

Add '-2' to each side of the equation.
2 + -2 + 3x = 8 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 8 + -2
3x = 8 + -2

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

Divide each side by '3'.
x = 2

Simplifying
x = 2

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