.67(3x+18)=5x-9

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Solution for .67(3x+18)=5x-9 equation: 


Simplifying
0.67(3x + 18) = 5x + -9

Reorder the terms:
0.67(18 + 3x) = 5x + -9
(18 * 0.67 + 3x * 0.67) = 5x + -9
(12.06 + 2.01x) = 5x + -9

Reorder the terms:
12.06 + 2.01x = -9 + 5x

Solving
12.06 + 2.01x = -9 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
12.06 + 2.01x + -5x = -9 + 5x + -5x

Combine like terms: 2.01x + -5x = -2.99x
12.06 + -2.99x = -9 + 5x + -5x

Combine like terms: 5x + -5x = 0
12.06 + -2.99x = -9 + 0
12.06 + -2.99x = -9

Add '-12.06' to each side of the equation.
12.06 + -12.06 + -2.99x = -9 + -12.06

Combine like terms: 12.06 + -12.06 = 0.00
0.00 + -2.99x = -9 + -12.06
-2.99x = -9 + -12.06

Combine like terms: -9 + -12.06 = -21.06
-2.99x = -21.06

Divide each side by '-2.99'.
x = 7.043478261

Simplifying
x = 7.043478261

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