.33(9x-15)=.5(10x-6)

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Solution for .33(9x-15)=.5(10x-6) equation: 


Simplifying
0.33(9x + -15) = 0.5(10x + -6)

Reorder the terms:
0.33(-15 + 9x) = 0.5(10x + -6)
(-15 * 0.33 + 9x * 0.33) = 0.5(10x + -6)
(-4.95 + 2.97x) = 0.5(10x + -6)

Reorder the terms:
-4.95 + 2.97x = 0.5(-6 + 10x)
-4.95 + 2.97x = (-6 * 0.5 + 10x * 0.5)
-4.95 + 2.97x = (-3 + 5x)

Solving
-4.95 + 2.97x = -3 + 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.
-4.95 + 2.97x + -5x = -3 + 5x + -5x

Combine like terms: 2.97x + -5x = -2.03x
-4.95 + -2.03x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 0
-4.95 + -2.03x = -3 + 0
-4.95 + -2.03x = -3

Add '4.95' to each side of the equation.
-4.95 + 4.95 + -2.03x = -3 + 4.95

Combine like terms: -4.95 + 4.95 = 0.00
0.00 + -2.03x = -3 + 4.95
-2.03x = -3 + 4.95

Combine like terms: -3 + 4.95 = 1.95
-2.03x = 1.95

Divide each side by '-2.03'.
x = -0.960591133

Simplifying
x = -0.960591133

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