2(3x-1)+7=9-x

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Solution for 2(3x-1)+7=9-x equation:


Simplifying
2(3x + -1) + 7 = 9 + -1x

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

Reorder the terms:
-2 + 7 + 6x = 9 + -1x

Combine like terms: -2 + 7 = 5
5 + 6x = 9 + -1x

Solving
5 + 6x = 9 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
5 + 6x + x = 9 + -1x + x

Combine like terms: 6x + x = 7x
5 + 7x = 9 + -1x + x

Combine like terms: -1x + x = 0
5 + 7x = 9 + 0
5 + 7x = 9

Add '-5' to each side of the equation.
5 + -5 + 7x = 9 + -5

Combine like terms: 5 + -5 = 0
0 + 7x = 9 + -5
7x = 9 + -5

Combine like terms: 9 + -5 = 4
7x = 4

Divide each side by '7'.
x = 0.5714285714

Simplifying
x = 0.5714285714

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