5.5(x-1)=0.5x+42.5

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Solution for 5.5(x-1)=0.5x+42.5 equation: 


Simplifying
5.5(x + -1) = 0.5x + 42.5

Reorder the terms:
5.5(-1 + x) = 0.5x + 42.5
(-1 * 5.5 + x * 5.5) = 0.5x + 42.5
(-5.5 + 5.5x) = 0.5x + 42.5

Reorder the terms:
-5.5 + 5.5x = 42.5 + 0.5x

Solving
-5.5 + 5.5x = 42.5 + 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.
-5.5 + 5.5x + -0.5x = 42.5 + 0.5x + -0.5x

Combine like terms: 5.5x + -0.5x = 5x
-5.5 + 5x = 42.5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-5.5 + 5x = 42.5 + 0.0
-5.5 + 5x = 42.5

Add '5.5' to each side of the equation.
-5.5 + 5.5 + 5x = 42.5 + 5.5

Combine like terms: -5.5 + 5.5 = 0.0
0.0 + 5x = 42.5 + 5.5
5x = 42.5 + 5.5

Combine like terms: 42.5 + 5.5 = 48
5x = 48

Divide each side by '5'.
x = 9.6

Simplifying
x = 9.6

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