4.50x+3.75(37-x)=152.20

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Solution for 4.50x+3.75(37-x)=152.20 equation: 


Simplifying
4.50x + 3.75(37 + -1x) = 152.20
4.50x + (37 * 3.75 + -1x * 3.75) = 152.20
4.50x + (138.75 + -3.75x) = 152.20

Reorder the terms:
138.75 + 4.50x + -3.75x = 152.20

Combine like terms: 4.50x + -3.75x = 0.75x
138.75 + 0.75x = 152.20

Solving
138.75 + 0.75x = 152.20

Solving for variable 'x'.

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

Add '-138.75' to each side of the equation.
138.75 + -138.75 + 0.75x = 152.20 + -138.75

Combine like terms: 138.75 + -138.75 = 0.00
0.00 + 0.75x = 152.20 + -138.75
0.75x = 152.20 + -138.75

Combine like terms: 152.20 + -138.75 = 13.45
0.75x = 13.45

Divide each side by '0.75'.
x = 17.93333333

Simplifying
x = 17.93333333

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