.33(x+3)=.66(x-6)

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Solution for .33(x+3)=.66(x-6) equation: 


Simplifying
0.33(x + 3) = 0.66(x + -6)

Reorder the terms:
0.33(3 + x) = 0.66(x + -6)
(3 * 0.33 + x * 0.33) = 0.66(x + -6)
(0.99 + 0.33x) = 0.66(x + -6)

Reorder the terms:
0.99 + 0.33x = 0.66(-6 + x)
0.99 + 0.33x = (-6 * 0.66 + x * 0.66)
0.99 + 0.33x = (-3.96 + 0.66x)

Solving
0.99 + 0.33x = -3.96 + 0.66x

Solving for variable 'x'.

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

Add '-0.66x' to each side of the equation.
0.99 + 0.33x + -0.66x = -3.96 + 0.66x + -0.66x

Combine like terms: 0.33x + -0.66x = -0.33x
0.99 + -0.33x = -3.96 + 0.66x + -0.66x

Combine like terms: 0.66x + -0.66x = 0.00
0.99 + -0.33x = -3.96 + 0.00
0.99 + -0.33x = -3.96

Add '-0.99' to each side of the equation.
0.99 + -0.99 + -0.33x = -3.96 + -0.99

Combine like terms: 0.99 + -0.99 = 0.00
0.00 + -0.33x = -3.96 + -0.99
-0.33x = -3.96 + -0.99

Combine like terms: -3.96 + -0.99 = -4.95
-0.33x = -4.95

Divide each side by '-0.33'.
x = 15

Simplifying
x = 15

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