.33(6x-9)=2x-3

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Solution for .33(6x-9)=2x-3 equation:


Simplifying
0.33(6x + -9) = 2x + -3

Reorder the terms:
0.33(-9 + 6x) = 2x + -3
(-9 * 0.33 + 6x * 0.33) = 2x + -3
(-2.97 + 1.98x) = 2x + -3

Reorder the terms:
-2.97 + 1.98x = -3 + 2x

Solving
-2.97 + 1.98x = -3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-2.97 + 1.98x + -2x = -3 + 2x + -2x

Combine like terms: 1.98x + -2x = -0.02x
-2.97 + -0.02x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2.97 + -0.02x = -3 + 0
-2.97 + -0.02x = -3

Add '2.97' to each side of the equation.
-2.97 + 2.97 + -0.02x = -3 + 2.97

Combine like terms: -2.97 + 2.97 = 0.00
0.00 + -0.02x = -3 + 2.97
-0.02x = -3 + 2.97

Combine like terms: -3 + 2.97 = -0.03
-0.02x = -0.03

Divide each side by '-0.02'.
x = 1.5

Simplifying
x = 1.5

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