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

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


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

Reorder the terms:
8 + -5 + 3x + -5x = 2(x + 6) + -7x

Combine like terms: 8 + -5 = 3
3 + 3x + -5x = 2(x + 6) + -7x

Combine like terms: 3x + -5x = -2x
3 + -2x = 2(x + 6) + -7x

Reorder the terms:
3 + -2x = 2(6 + x) + -7x
3 + -2x = (6 * 2 + x * 2) + -7x
3 + -2x = (12 + 2x) + -7x

Combine like terms: 2x + -7x = -5x
3 + -2x = 12 + -5x

Solving
3 + -2x = 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.
3 + -2x + 5x = 12 + -5x + 5x

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

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

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

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

Combine like terms: 12 + -3 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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