5.5(3-2x)=2(9-7x)+.5x

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Solution for 5.5(3-2x)=2(9-7x)+.5x equation: 


Simplifying
5.5(3 + -2x) = 2(9 + -7x) + 0.5x
(3 * 5.5 + -2x * 5.5) = 2(9 + -7x) + 0.5x
(16.5 + -11x) = 2(9 + -7x) + 0.5x
16.5 + -11x = (9 * 2 + -7x * 2) + 0.5x
16.5 + -11x = (18 + -14x) + 0.5x

Combine like terms: -14x + 0.5x = -13.5x
16.5 + -11x = 18 + -13.5x

Solving
16.5 + -11x = 18 + -13.5x

Solving for variable 'x'.

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

Add '13.5x' to each side of the equation.
16.5 + -11x + 13.5x = 18 + -13.5x + 13.5x

Combine like terms: -11x + 13.5x = 2.5x
16.5 + 2.5x = 18 + -13.5x + 13.5x

Combine like terms: -13.5x + 13.5x = 0.0
16.5 + 2.5x = 18 + 0.0
16.5 + 2.5x = 18

Add '-16.5' to each side of the equation.
16.5 + -16.5 + 2.5x = 18 + -16.5

Combine like terms: 16.5 + -16.5 = 0.0
0.0 + 2.5x = 18 + -16.5
2.5x = 18 + -16.5

Combine like terms: 18 + -16.5 = 1.5
2.5x = 1.5

Divide each side by '2.5'.
x = 0.6

Simplifying
x = 0.6

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