6.75-0.05x=.075x+4.50

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Solution for 6.75-0.05x=.075x+4.50 equation: 


Simplifying
6.75 + -0.05x = 0.075x + 4.50

Reorder the terms:
6.75 + -0.05x = 4.50 + 0.075x

Solving
6.75 + -0.05x = 4.50 + 0.075x

Solving for variable 'x'.

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

Add '-0.075x' to each side of the equation.
6.75 + -0.05x + -0.075x = 4.50 + 0.075x + -0.075x

Combine like terms: -0.05x + -0.075x = -0.125x
6.75 + -0.125x = 4.50 + 0.075x + -0.075x

Combine like terms: 0.075x + -0.075x = 0.000
6.75 + -0.125x = 4.50 + 0.000
6.75 + -0.125x = 4.50

Add '-6.75' to each side of the equation.
6.75 + -6.75 + -0.125x = 4.50 + -6.75

Combine like terms: 6.75 + -6.75 = 0.00
0.00 + -0.125x = 4.50 + -6.75
-0.125x = 4.50 + -6.75

Combine like terms: 4.50 + -6.75 = -2.25
-0.125x = -2.25

Divide each side by '-0.125'.
x = 18

Simplifying
x = 18

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