5.5*x-1=-0.5*x+24.5

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Solution for 5.5*x-1=-0.5*x+24.5 equation: 


Simplifying
5.5x + -1 = -0.5x + 24.5

Reorder the terms:
-1 + 5.5x = -0.5x + 24.5

Reorder the terms:
-1 + 5.5x = 24.5 + -0.5x

Solving
-1 + 5.5x = 24.5 + -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 + 5.5x + 0.5x = 24.5 + -0.5x + 0.5x

Combine like terms: 5.5x + 0.5x = 6x
-1 + 6x = 24.5 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
-1 + 6x = 24.5 + 0.0
-1 + 6x = 24.5

Add '1' to each side of the equation.
-1 + 1 + 6x = 24.5 + 1

Combine like terms: -1 + 1 = 0
0 + 6x = 24.5 + 1
6x = 24.5 + 1

Combine like terms: 24.5 + 1 = 25.5
6x = 25.5

Divide each side by '6'.
x = 4.25

Simplifying
x = 4.25

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