0.67(3-6x)=-3(8x-4)

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Solution for 0.67(3-6x)=-3(8x-4) equation: 


Simplifying
0.67(3 + -6x) = -3(8x + -4)
(3 * 0.67 + -6x * 0.67) = -3(8x + -4)
(2.01 + -4.02x) = -3(8x + -4)

Reorder the terms:
2.01 + -4.02x = -3(-4 + 8x)
2.01 + -4.02x = (-4 * -3 + 8x * -3)
2.01 + -4.02x = (12 + -24x)

Solving
2.01 + -4.02x = 12 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
2.01 + -4.02x + 24x = 12 + -24x + 24x

Combine like terms: -4.02x + 24x = 19.98x
2.01 + 19.98x = 12 + -24x + 24x

Combine like terms: -24x + 24x = 0
2.01 + 19.98x = 12 + 0
2.01 + 19.98x = 12

Add '-2.01' to each side of the equation.
2.01 + -2.01 + 19.98x = 12 + -2.01

Combine like terms: 2.01 + -2.01 = 0.00
0.00 + 19.98x = 12 + -2.01
19.98x = 12 + -2.01

Combine like terms: 12 + -2.01 = 9.99
19.98x = 9.99

Divide each side by '19.98'.
x = 0.5

Simplifying
x = 0.5

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