.333x-4.6=x-2

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Solution for .333x-4.6=x-2 equation:


Simplifying
0.333x + -4.6 = x + -2

Reorder the terms:
-4.6 + 0.333x = x + -2

Reorder the terms:
-4.6 + 0.333x = -2 + x

Solving
-4.6 + 0.333x = -2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-4.6 + 0.333x + -1x = -2 + x + -1x

Combine like terms: 0.333x + -1x = -0.667x
-4.6 + -0.667x = -2 + x + -1x

Combine like terms: x + -1x = 0
-4.6 + -0.667x = -2 + 0
-4.6 + -0.667x = -2

Add '4.6' to each side of the equation.
-4.6 + 4.6 + -0.667x = -2 + 4.6

Combine like terms: -4.6 + 4.6 = 0.0
0.0 + -0.667x = -2 + 4.6
-0.667x = -2 + 4.6

Combine like terms: -2 + 4.6 = 2.6
-0.667x = 2.6

Divide each side by '-0.667'.
x = -3.898050975

Simplifying
x = -3.898050975

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