0.5x-2.5=37.5-0.3x

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Solution for 0.5x-2.5=37.5-0.3x equation: 


Simplifying
0.5x + -2.5 = 37.5 + -0.3x

Reorder the terms:
-2.5 + 0.5x = 37.5 + -0.3x

Solving
-2.5 + 0.5x = 37.5 + -0.3x

Solving for variable 'x'.

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

Add '0.3x' to each side of the equation.
-2.5 + 0.5x + 0.3x = 37.5 + -0.3x + 0.3x

Combine like terms: 0.5x + 0.3x = 0.8x
-2.5 + 0.8x = 37.5 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
-2.5 + 0.8x = 37.5 + 0.0
-2.5 + 0.8x = 37.5

Add '2.5' to each side of the equation.
-2.5 + 2.5 + 0.8x = 37.5 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + 0.8x = 37.5 + 2.5
0.8x = 37.5 + 2.5

Combine like terms: 37.5 + 2.5 = 40
0.8x = 40

Divide each side by '0.8'.
x = 50

Simplifying
x = 50

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