4.50x+3.75=5.75x+10

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Solution for 4.50x+3.75=5.75x+10 equation: 


Simplifying
4.50x + 3.75 = 5.75x + 10

Reorder the terms:
3.75 + 4.50x = 5.75x + 10

Reorder the terms:
3.75 + 4.50x = 10 + 5.75x

Solving
3.75 + 4.50x = 10 + 5.75x

Solving for variable 'x'.

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

Add '-5.75x' to each side of the equation.
3.75 + 4.50x + -5.75x = 10 + 5.75x + -5.75x

Combine like terms: 4.50x + -5.75x = -1.25x
3.75 + -1.25x = 10 + 5.75x + -5.75x

Combine like terms: 5.75x + -5.75x = 0.00
3.75 + -1.25x = 10 + 0.00
3.75 + -1.25x = 10

Add '-3.75' to each side of the equation.
3.75 + -3.75 + -1.25x = 10 + -3.75

Combine like terms: 3.75 + -3.75 = 0.00
0.00 + -1.25x = 10 + -3.75
-1.25x = 10 + -3.75

Combine like terms: 10 + -3.75 = 6.25
-1.25x = 6.25

Divide each side by '-1.25'.
x = -5

Simplifying
x = -5

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