4.5x-13.8=2.5x+6.2

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Solution for 4.5x-13.8=2.5x+6.2 equation: 


Simplifying
4.5x + -13.8 = 2.5x + 6.2

Reorder the terms:
-13.8 + 4.5x = 2.5x + 6.2

Reorder the terms:
-13.8 + 4.5x = 6.2 + 2.5x

Solving
-13.8 + 4.5x = 6.2 + 2.5x

Solving for variable 'x'.

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

Add '-2.5x' to each side of the equation.
-13.8 + 4.5x + -2.5x = 6.2 + 2.5x + -2.5x

Combine like terms: 4.5x + -2.5x = 2x
-13.8 + 2x = 6.2 + 2.5x + -2.5x

Combine like terms: 2.5x + -2.5x = 0.0
-13.8 + 2x = 6.2 + 0.0
-13.8 + 2x = 6.2

Add '13.8' to each side of the equation.
-13.8 + 13.8 + 2x = 6.2 + 13.8

Combine like terms: -13.8 + 13.8 = 0.0
0.0 + 2x = 6.2 + 13.8
2x = 6.2 + 13.8

Combine like terms: 6.2 + 13.8 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10

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