.33(12+x)=-8(6-x)

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Solution for .33(12+x)=-8(6-x) equation: 


Simplifying
0.33(12 + x) = -8(6 + -1x)
(12 * 0.33 + x * 0.33) = -8(6 + -1x)
(3.96 + 0.33x) = -8(6 + -1x)
3.96 + 0.33x = (6 * -8 + -1x * -8)
3.96 + 0.33x = (-48 + 8x)

Solving
3.96 + 0.33x = -48 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
3.96 + 0.33x + -8x = -48 + 8x + -8x

Combine like terms: 0.33x + -8x = -7.67x
3.96 + -7.67x = -48 + 8x + -8x

Combine like terms: 8x + -8x = 0
3.96 + -7.67x = -48 + 0
3.96 + -7.67x = -48

Add '-3.96' to each side of the equation.
3.96 + -3.96 + -7.67x = -48 + -3.96

Combine like terms: 3.96 + -3.96 = 0.00
0.00 + -7.67x = -48 + -3.96
-7.67x = -48 + -3.96

Combine like terms: -48 + -3.96 = -51.96
-7.67x = -51.96

Divide each side by '-7.67'.
x = 6.774445893

Simplifying
x = 6.774445893

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