12(3x+4)-5(2x-4)=6x-32

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Solution for 12(3x+4)-5(2x-4)=6x-32 equation:


Simplifying
12(3x + 4) + -5(2x + -4) = 6x + -32

Reorder the terms:
12(4 + 3x) + -5(2x + -4) = 6x + -32
(4 * 12 + 3x * 12) + -5(2x + -4) = 6x + -32
(48 + 36x) + -5(2x + -4) = 6x + -32

Reorder the terms:
48 + 36x + -5(-4 + 2x) = 6x + -32
48 + 36x + (-4 * -5 + 2x * -5) = 6x + -32
48 + 36x + (20 + -10x) = 6x + -32

Reorder the terms:
48 + 20 + 36x + -10x = 6x + -32

Combine like terms: 48 + 20 = 68
68 + 36x + -10x = 6x + -32

Combine like terms: 36x + -10x = 26x
68 + 26x = 6x + -32

Reorder the terms:
68 + 26x = -32 + 6x

Solving
68 + 26x = -32 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
68 + 26x + -6x = -32 + 6x + -6x

Combine like terms: 26x + -6x = 20x
68 + 20x = -32 + 6x + -6x

Combine like terms: 6x + -6x = 0
68 + 20x = -32 + 0
68 + 20x = -32

Add '-68' to each side of the equation.
68 + -68 + 20x = -32 + -68

Combine like terms: 68 + -68 = 0
0 + 20x = -32 + -68
20x = -32 + -68

Combine like terms: -32 + -68 = -100
20x = -100

Divide each side by '20'.
x = -5

Simplifying
x = -5

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