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

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


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

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

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

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

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

Solving
8 + 3x = -4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
8 + 3x + -1x = -4 + x + -1x

Combine like terms: 3x + -1x = 2x
8 + 2x = -4 + x + -1x

Combine like terms: x + -1x = 0
8 + 2x = -4 + 0
8 + 2x = -4

Add '-8' to each side of the equation.
8 + -8 + 2x = -4 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = -4 + -8
2x = -4 + -8

Combine like terms: -4 + -8 = -12
2x = -12

Divide each side by '2'.
x = -6

Simplifying
x = -6

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