.33(6x-9)=-1.5(4x-5)

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Solution for .33(6x-9)=-1.5(4x-5) equation: 


Simplifying
0.33(6x + -9) = -1.5(4x + -5)

Reorder the terms:
0.33(-9 + 6x) = -1.5(4x + -5)
(-9 * 0.33 + 6x * 0.33) = -1.5(4x + -5)
(-2.97 + 1.98x) = -1.5(4x + -5)

Reorder the terms:
-2.97 + 1.98x = -1.5(-5 + 4x)
-2.97 + 1.98x = (-5 * -1.5 + 4x * -1.5)
-2.97 + 1.98x = (7.5 + -6x)

Solving
-2.97 + 1.98x = 7.5 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-2.97 + 1.98x + 6x = 7.5 + -6x + 6x

Combine like terms: 1.98x + 6x = 7.98x
-2.97 + 7.98x = 7.5 + -6x + 6x

Combine like terms: -6x + 6x = 0
-2.97 + 7.98x = 7.5 + 0
-2.97 + 7.98x = 7.5

Add '2.97' to each side of the equation.
-2.97 + 2.97 + 7.98x = 7.5 + 2.97

Combine like terms: -2.97 + 2.97 = 0.00
0.00 + 7.98x = 7.5 + 2.97
7.98x = 7.5 + 2.97

Combine like terms: 7.5 + 2.97 = 10.47
7.98x = 10.47

Divide each side by '7.98'.
x = 1.312030075

Simplifying
x = 1.312030075

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