8(x+4)=12x-4

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Solution for 8(x+4)=12x-4 equation:


Simplifying
8(x + 4) = 12x + -4

Reorder the terms:
8(4 + x) = 12x + -4
(4 * 8 + x * 8) = 12x + -4
(32 + 8x) = 12x + -4

Reorder the terms:
32 + 8x = -4 + 12x

Solving
32 + 8x = -4 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
32 + 8x + -12x = -4 + 12x + -12x

Combine like terms: 8x + -12x = -4x
32 + -4x = -4 + 12x + -12x

Combine like terms: 12x + -12x = 0
32 + -4x = -4 + 0
32 + -4x = -4

Add '-32' to each side of the equation.
32 + -32 + -4x = -4 + -32

Combine like terms: 32 + -32 = 0
0 + -4x = -4 + -32
-4x = -4 + -32

Combine like terms: -4 + -32 = -36
-4x = -36

Divide each side by '-4'.
x = 9

Simplifying
x = 9

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