0.33(6x-9)=4x-6

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Solution for 0.33(6x-9)=4x-6 equation: 


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

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

Reorder the terms:
-2.97 + 1.98x = -6 + 4x

Solving
-2.97 + 1.98x = -6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-2.97 + 1.98x + -4x = -6 + 4x + -4x

Combine like terms: 1.98x + -4x = -2.02x
-2.97 + -2.02x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2.97 + -2.02x = -6 + 0
-2.97 + -2.02x = -6

Add '2.97' to each side of the equation.
-2.97 + 2.97 + -2.02x = -6 + 2.97

Combine like terms: -2.97 + 2.97 = 0.00
0.00 + -2.02x = -6 + 2.97
-2.02x = -6 + 2.97

Combine like terms: -6 + 2.97 = -3.03
-2.02x = -3.03

Divide each side by '-2.02'.
x = 1.5

Simplifying
x = 1.5

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