5.3x+39.5=4.5x+45.5

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Solution for 5.3x+39.5=4.5x+45.5 equation: 


Simplifying
5.3x + 39.5 = 4.5x + 45.5

Reorder the terms:
39.5 + 5.3x = 4.5x + 45.5

Reorder the terms:
39.5 + 5.3x = 45.5 + 4.5x

Solving
39.5 + 5.3x = 45.5 + 4.5x

Solving for variable 'x'.

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

Add '-4.5x' to each side of the equation.
39.5 + 5.3x + -4.5x = 45.5 + 4.5x + -4.5x

Combine like terms: 5.3x + -4.5x = 0.8x
39.5 + 0.8x = 45.5 + 4.5x + -4.5x

Combine like terms: 4.5x + -4.5x = 0.0
39.5 + 0.8x = 45.5 + 0.0
39.5 + 0.8x = 45.5

Add '-39.5' to each side of the equation.
39.5 + -39.5 + 0.8x = 45.5 + -39.5

Combine like terms: 39.5 + -39.5 = 0.0
0.0 + 0.8x = 45.5 + -39.5
0.8x = 45.5 + -39.5

Combine like terms: 45.5 + -39.5 = 6
0.8x = 6

Divide each side by '0.8'.
x = 7.5

Simplifying
x = 7.5

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