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

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


Simplifying
6(3 + -2x) + -12 = 4(4 + -5x)
(3 * 6 + -2x * 6) + -12 = 4(4 + -5x)
(18 + -12x) + -12 = 4(4 + -5x)

Reorder the terms:
18 + -12 + -12x = 4(4 + -5x)

Combine like terms: 18 + -12 = 6
6 + -12x = 4(4 + -5x)
6 + -12x = (4 * 4 + -5x * 4)
6 + -12x = (16 + -20x)

Solving
6 + -12x = 16 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
6 + -12x + 20x = 16 + -20x + 20x

Combine like terms: -12x + 20x = 8x
6 + 8x = 16 + -20x + 20x

Combine like terms: -20x + 20x = 0
6 + 8x = 16 + 0
6 + 8x = 16

Add '-6' to each side of the equation.
6 + -6 + 8x = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = 16 + -6
8x = 16 + -6

Combine like terms: 16 + -6 = 10
8x = 10

Divide each side by '8'.
x = 1.25

Simplifying
x = 1.25

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