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 = -32x
6 + -32x = -16 + 20x + -20x

Combine like terms: 20x + -20x = 0
6 + -32x = -16 + 0
6 + -32x = -16

Add '-6' to each side of the equation.
6 + -6 + -32x = -16 + -6

Combine like terms: 6 + -6 = 0
0 + -32x = -16 + -6
-32x = -16 + -6

Combine like terms: -16 + -6 = -22
-32x = -22

Divide each side by '-32'.
x = 0.6875

Simplifying
x = 0.6875

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