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

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


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

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

Remove parenthesis around (-2 + 3x)
2 + -2 + 3x + -7 = 8x + 8

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

Combine like terms: 2 + -2 = 0
0 + -7 + 3x = 8x + 8
-7 + 3x = 8x + 8

Reorder the terms:
-7 + 3x = 8 + 8x

Solving
-7 + 3x = 8 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-7 + 3x + -8x = 8 + 8x + -8x

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

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

Add '7' to each side of the equation.
-7 + 7 + -5x = 8 + 7

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

Combine like terms: 8 + 7 = 15
-5x = 15

Divide each side by '-5'.
x = -3

Simplifying
x = -3

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