8(3x+2)-3x=-3(5x-4)-32

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Solution for 8(3x+2)-3x=-3(5x-4)-32 equation:


Simplifying
8(3x + 2) + -3x = -3(5x + -4) + -32

Reorder the terms:
8(2 + 3x) + -3x = -3(5x + -4) + -32
(2 * 8 + 3x * 8) + -3x = -3(5x + -4) + -32
(16 + 24x) + -3x = -3(5x + -4) + -32

Combine like terms: 24x + -3x = 21x
16 + 21x = -3(5x + -4) + -32

Reorder the terms:
16 + 21x = -3(-4 + 5x) + -32
16 + 21x = (-4 * -3 + 5x * -3) + -32
16 + 21x = (12 + -15x) + -32

Reorder the terms:
16 + 21x = 12 + -32 + -15x

Combine like terms: 12 + -32 = -20
16 + 21x = -20 + -15x

Solving
16 + 21x = -20 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
16 + 21x + 15x = -20 + -15x + 15x

Combine like terms: 21x + 15x = 36x
16 + 36x = -20 + -15x + 15x

Combine like terms: -15x + 15x = 0
16 + 36x = -20 + 0
16 + 36x = -20

Add '-16' to each side of the equation.
16 + -16 + 36x = -20 + -16

Combine like terms: 16 + -16 = 0
0 + 36x = -20 + -16
36x = -20 + -16

Combine like terms: -20 + -16 = -36
36x = -36

Divide each side by '36'.
x = -1

Simplifying
x = -1

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