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

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


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

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

Combine like terms: 24x + -3x = 21x
16 + 21x = 3(5x + -4) + -2

Reorder the terms:
16 + 21x = 3(-4 + 5x) + -2
16 + 21x = (-4 * 3 + 5x * 3) + -2
16 + 21x = (-12 + 15x) + -2

Reorder the terms:
16 + 21x = -12 + -2 + 15x

Combine like terms: -12 + -2 = -14
16 + 21x = -14 + 15x

Solving
16 + 21x = -14 + 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 = -14 + 15x + -15x

Combine like terms: 21x + -15x = 6x
16 + 6x = -14 + 15x + -15x

Combine like terms: 15x + -15x = 0
16 + 6x = -14 + 0
16 + 6x = -14

Add '-16' to each side of the equation.
16 + -16 + 6x = -14 + -16

Combine like terms: 16 + -16 = 0
0 + 6x = -14 + -16
6x = -14 + -16

Combine like terms: -14 + -16 = -30
6x = -30

Divide each side by '6'.
x = -5

Simplifying
x = -5

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