2+(x-4)+8=3x-8

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Solution for 2+(x-4)+8=3x-8 equation:


Simplifying
2 + (x + -4) + 8 = 3x + -8

Reorder the terms:
2 + (-4 + x) + 8 = 3x + -8

Remove parenthesis around (-4 + x)
2 + -4 + x + 8 = 3x + -8

Reorder the terms:
2 + -4 + 8 + x = 3x + -8

Combine like terms: 2 + -4 = -2
-2 + 8 + x = 3x + -8

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

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

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

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

Combine like terms: 3x + -3x = 0
6 + -2x = -8 + 0
6 + -2x = -8

Add '-6' to each side of the equation.
6 + -6 + -2x = -8 + -6

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

Combine like terms: -8 + -6 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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