8(3x-4)=2x+12

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Solution for 8(3x-4)=2x+12 equation:


Simplifying
8(3x + -4) = 2x + 12

Reorder the terms:
8(-4 + 3x) = 2x + 12
(-4 * 8 + 3x * 8) = 2x + 12
(-32 + 24x) = 2x + 12

Reorder the terms:
-32 + 24x = 12 + 2x

Solving
-32 + 24x = 12 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-32 + 24x + -2x = 12 + 2x + -2x

Combine like terms: 24x + -2x = 22x
-32 + 22x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-32 + 22x = 12 + 0
-32 + 22x = 12

Add '32' to each side of the equation.
-32 + 32 + 22x = 12 + 32

Combine like terms: -32 + 32 = 0
0 + 22x = 12 + 32
22x = 12 + 32

Combine like terms: 12 + 32 = 44
22x = 44

Divide each side by '22'.
x = 2

Simplifying
x = 2

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