(x+8)+4=(3x-5)

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Solution for (x+8)+4=(3x-5) equation:


Simplifying
(x + 8) + 4 = (3x + -5)

Reorder the terms:
(8 + x) + 4 = (3x + -5)

Remove parenthesis around (8 + x)
8 + x + 4 = (3x + -5)

Reorder the terms:
8 + 4 + x = (3x + -5)

Combine like terms: 8 + 4 = 12
12 + x = (3x + -5)

Reorder the terms:
12 + x = (-5 + 3x)

Remove parenthesis around (-5 + 3x)
12 + x = -5 + 3x

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

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

Combine like terms: 3x + -3x = 0
12 + -2x = -5 + 0
12 + -2x = -5

Add '-12' to each side of the equation.
12 + -12 + -2x = -5 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = -5 + -12
-2x = -5 + -12

Combine like terms: -5 + -12 = -17
-2x = -17

Divide each side by '-2'.
x = 8.5

Simplifying
x = 8.5

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