6+7x-2(3-x)=5x-8

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Solution for 6+7x-2(3-x)=5x-8 equation:


Simplifying
6 + 7x + -2(3 + -1x) = 5x + -8
6 + 7x + (3 * -2 + -1x * -2) = 5x + -8
6 + 7x + (-6 + 2x) = 5x + -8

Reorder the terms:
6 + -6 + 7x + 2x = 5x + -8

Combine like terms: 6 + -6 = 0
0 + 7x + 2x = 5x + -8
7x + 2x = 5x + -8

Combine like terms: 7x + 2x = 9x
9x = 5x + -8

Reorder the terms:
9x = -8 + 5x

Solving
9x = -8 + 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.
9x + -5x = -8 + 5x + -5x

Combine like terms: 9x + -5x = 4x
4x = -8 + 5x + -5x

Combine like terms: 5x + -5x = 0
4x = -8 + 0
4x = -8

Divide each side by '4'.
x = -2

Simplifying
x = -2

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