2.5x+7.5=0.5x+16.5

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Solution for 2.5x+7.5=0.5x+16.5 equation: 


Simplifying
2.5x + 7.5 = 0.5x + 16.5

Reorder the terms:
7.5 + 2.5x = 0.5x + 16.5

Reorder the terms:
7.5 + 2.5x = 16.5 + 0.5x

Solving
7.5 + 2.5x = 16.5 + 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.
7.5 + 2.5x + -0.5x = 16.5 + 0.5x + -0.5x

Combine like terms: 2.5x + -0.5x = 2x
7.5 + 2x = 16.5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
7.5 + 2x = 16.5 + 0.0
7.5 + 2x = 16.5

Add '-7.5' to each side of the equation.
7.5 + -7.5 + 2x = 16.5 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + 2x = 16.5 + -7.5
2x = 16.5 + -7.5

Combine like terms: 16.5 + -7.5 = 9
2x = 9

Divide each side by '2'.
x = 4.5

Simplifying
x = 4.5

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