0.375x+0.5=3x-2.25

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Solution for 0.375x+0.5=3x-2.25 equation: 


Simplifying
0.375x + 0.5 = 3x + -2.25

Reorder the terms:
0.5 + 0.375x = 3x + -2.25

Reorder the terms:
0.5 + 0.375x = -2.25 + 3x

Solving
0.5 + 0.375x = -2.25 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
0.5 + 0.375x + -3x = -2.25 + 3x + -3x

Combine like terms: 0.375x + -3x = -2.625x
0.5 + -2.625x = -2.25 + 3x + -3x

Combine like terms: 3x + -3x = 0
0.5 + -2.625x = -2.25 + 0
0.5 + -2.625x = -2.25

Add '-0.5' to each side of the equation.
0.5 + -0.5 + -2.625x = -2.25 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -2.625x = -2.25 + -0.5
-2.625x = -2.25 + -0.5

Combine like terms: -2.25 + -0.5 = -2.75
-2.625x = -2.75

Divide each side by '-2.625'.
x = 1.047619048

Simplifying
x = 1.047619048

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