1.2+.375x=5x+2.5-.3333x

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Solution for 1.2+.375x=5x+2.5-.3333x equation: 


Simplifying
1.2 + 0.375x = 5x + 2.5 + -0.3333x

Reorder the terms:
1.2 + 0.375x = 2.5 + 5x + -0.3333x

Combine like terms: 5x + -0.3333x = 4.6667x
1.2 + 0.375x = 2.5 + 4.6667x

Solving
1.2 + 0.375x = 2.5 + 4.6667x

Solving for variable 'x'.

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

Add '-4.6667x' to each side of the equation.
1.2 + 0.375x + -4.6667x = 2.5 + 4.6667x + -4.6667x

Combine like terms: 0.375x + -4.6667x = -4.2917x
1.2 + -4.2917x = 2.5 + 4.6667x + -4.6667x

Combine like terms: 4.6667x + -4.6667x = 0.0000
1.2 + -4.2917x = 2.5 + 0.0000
1.2 + -4.2917x = 2.5

Add '-1.2' to each side of the equation.
1.2 + -1.2 + -4.2917x = 2.5 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -4.2917x = 2.5 + -1.2
-4.2917x = 2.5 + -1.2

Combine like terms: 2.5 + -1.2 = 1.3
-4.2917x = 1.3

Divide each side by '-4.2917'.
x = -0.3029102687

Simplifying
x = -0.3029102687

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