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

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


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

Reorder the terms:
3(2 + -4x) = 3(-5x + 8)
(2 * 3 + -4x * 3) = 3(-5x + 8)
(6 + -12x) = 3(-5x + 8)

Reorder the terms:
6 + -12x = 3(8 + -5x)
6 + -12x = (8 * 3 + -5x * 3)
6 + -12x = (24 + -15x)

Solving
6 + -12x = 24 + -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.
6 + -12x + 15x = 24 + -15x + 15x

Combine like terms: -12x + 15x = 3x
6 + 3x = 24 + -15x + 15x

Combine like terms: -15x + 15x = 0
6 + 3x = 24 + 0
6 + 3x = 24

Add '-6' to each side of the equation.
6 + -6 + 3x = 24 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = 24 + -6
3x = 24 + -6

Combine like terms: 24 + -6 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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