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

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


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

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

Combine like terms: 3 + 7 = 10
10 + 6x = 2x + -5x + -8

Reorder the terms:
10 + 6x = -8 + 2x + -5x

Combine like terms: 2x + -5x = -3x
10 + 6x = -8 + -3x

Solving
10 + 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.
10 + 6x + 3x = -8 + -3x + 3x

Combine like terms: 6x + 3x = 9x
10 + 9x = -8 + -3x + 3x

Combine like terms: -3x + 3x = 0
10 + 9x = -8 + 0
10 + 9x = -8

Add '-10' to each side of the equation.
10 + -10 + 9x = -8 + -10

Combine like terms: 10 + -10 = 0
0 + 9x = -8 + -10
9x = -8 + -10

Combine like terms: -8 + -10 = -18
9x = -18

Divide each side by '9'.
x = -2

Simplifying
x = -2

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