5.5(x-3)=-0.5x+31.5

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Solution for 5.5(x-3)=-0.5x+31.5 equation: 


Simplifying
5.5(x + -3) = -0.5x + 31.5

Reorder the terms:
5.5(-3 + x) = -0.5x + 31.5
(-3 * 5.5 + x * 5.5) = -0.5x + 31.5
(-16.5 + 5.5x) = -0.5x + 31.5

Reorder the terms:
-16.5 + 5.5x = 31.5 + -0.5x

Solving
-16.5 + 5.5x = 31.5 + -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.
-16.5 + 5.5x + 0.5x = 31.5 + -0.5x + 0.5x

Combine like terms: 5.5x + 0.5x = 6x
-16.5 + 6x = 31.5 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
-16.5 + 6x = 31.5 + 0.0
-16.5 + 6x = 31.5

Add '16.5' to each side of the equation.
-16.5 + 16.5 + 6x = 31.5 + 16.5

Combine like terms: -16.5 + 16.5 = 0.0
0.0 + 6x = 31.5 + 16.5
6x = 31.5 + 16.5

Combine like terms: 31.5 + 16.5 = 48
6x = 48

Divide each side by '6'.
x = 8

Simplifying
x = 8

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