.33(x+6)=.5(x-3)

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Solution for .33(x+6)=.5(x-3) equation: 


Simplifying
0.33(x + 6) = 0.5(x + -3)

Reorder the terms:
0.33(6 + x) = 0.5(x + -3)
(6 * 0.33 + x * 0.33) = 0.5(x + -3)
(1.98 + 0.33x) = 0.5(x + -3)

Reorder the terms:
1.98 + 0.33x = 0.5(-3 + x)
1.98 + 0.33x = (-3 * 0.5 + x * 0.5)
1.98 + 0.33x = (-1.5 + 0.5x)

Solving
1.98 + 0.33x = -1.5 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
1.98 + 0.33x + -0.5x = -1.5 + 0.5x + -0.5x

Combine like terms: 0.33x + -0.5x = -0.17x
1.98 + -0.17x = -1.5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
1.98 + -0.17x = -1.5 + 0.0
1.98 + -0.17x = -1.5

Add '-1.98' to each side of the equation.
1.98 + -1.98 + -0.17x = -1.5 + -1.98

Combine like terms: 1.98 + -1.98 = 0.00
0.00 + -0.17x = -1.5 + -1.98
-0.17x = -1.5 + -1.98

Combine like terms: -1.5 + -1.98 = -3.48
-0.17x = -3.48

Divide each side by '-0.17'.
x = 20.47058824

Simplifying
x = 20.47058824

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