3(x+4)=(4x-8)+24

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Solution for 3(x+4)=(4x-8)+24 equation:


Simplifying
3(x + 4) = (4x + -8) + 24

Reorder the terms:
3(4 + x) = (4x + -8) + 24
(4 * 3 + x * 3) = (4x + -8) + 24
(12 + 3x) = (4x + -8) + 24

Reorder the terms:
12 + 3x = (-8 + 4x) + 24

Remove parenthesis around (-8 + 4x)
12 + 3x = -8 + 4x + 24

Reorder the terms:
12 + 3x = -8 + 24 + 4x

Combine like terms: -8 + 24 = 16
12 + 3x = 16 + 4x

Solving
12 + 3x = 16 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
12 + 3x + -4x = 16 + 4x + -4x

Combine like terms: 3x + -4x = -1x
12 + -1x = 16 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + -1x = 16 + 0
12 + -1x = 16

Add '-12' to each side of the equation.
12 + -12 + -1x = 16 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 16 + -12
-1x = 16 + -12

Combine like terms: 16 + -12 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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