7x-2(3x-4)=9-2x

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Solution for 7x-2(3x-4)=9-2x equation:


Simplifying
7x + -2(3x + -4) = 9 + -2x

Reorder the terms:
7x + -2(-4 + 3x) = 9 + -2x
7x + (-4 * -2 + 3x * -2) = 9 + -2x
7x + (8 + -6x) = 9 + -2x

Reorder the terms:
8 + 7x + -6x = 9 + -2x

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

Solving
8 + 1x = 9 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
8 + 1x + 2x = 9 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
8 + 3x = 9 + 0
8 + 3x = 9

Add '-8' to each side of the equation.
8 + -8 + 3x = 9 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = 9 + -8
3x = 9 + -8

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

Divide each side by '3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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