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

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


Simplifying
0.67(3x + 6) = 3x + -4

Reorder the terms:
0.67(6 + 3x) = 3x + -4
(6 * 0.67 + 3x * 0.67) = 3x + -4
(4.02 + 2.01x) = 3x + -4

Reorder the terms:
4.02 + 2.01x = -4 + 3x

Solving
4.02 + 2.01x = -4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
4.02 + 2.01x + -3x = -4 + 3x + -3x

Combine like terms: 2.01x + -3x = -0.99x
4.02 + -0.99x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
4.02 + -0.99x = -4 + 0
4.02 + -0.99x = -4

Add '-4.02' to each side of the equation.
4.02 + -4.02 + -0.99x = -4 + -4.02

Combine like terms: 4.02 + -4.02 = 0.00
0.00 + -0.99x = -4 + -4.02
-0.99x = -4 + -4.02

Combine like terms: -4 + -4.02 = -8.02
-0.99x = -8.02

Divide each side by '-0.99'.
x = 8.101010101

Simplifying
x = 8.101010101

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