0.375x+16=1.125x-20

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Solution for 0.375x+16=1.125x-20 equation: 


Simplifying
0.375x + 16 = 1.125x + -20

Reorder the terms:
16 + 0.375x = 1.125x + -20

Reorder the terms:
16 + 0.375x = -20 + 1.125x

Solving
16 + 0.375x = -20 + 1.125x

Solving for variable 'x'.

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

Add '-1.125x' to each side of the equation.
16 + 0.375x + -1.125x = -20 + 1.125x + -1.125x

Combine like terms: 0.375x + -1.125x = -0.75x
16 + -0.75x = -20 + 1.125x + -1.125x

Combine like terms: 1.125x + -1.125x = 0.000
16 + -0.75x = -20 + 0.000
16 + -0.75x = -20

Add '-16' to each side of the equation.
16 + -16 + -0.75x = -20 + -16

Combine like terms: 16 + -16 = 0
0 + -0.75x = -20 + -16
-0.75x = -20 + -16

Combine like terms: -20 + -16 = -36
-0.75x = -36

Divide each side by '-0.75'.
x = 48

Simplifying
x = 48

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