1.333(x+3)=1.5x+2

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Solution for 1.333(x+3)=1.5x+2 equation: 


Simplifying
1.333(x + 3) = 1.5x + 2

Reorder the terms:
1.333(3 + x) = 1.5x + 2
(3 * 1.333 + x * 1.333) = 1.5x + 2
(3.999 + 1.333x) = 1.5x + 2

Reorder the terms:
3.999 + 1.333x = 2 + 1.5x

Solving
3.999 + 1.333x = 2 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
3.999 + 1.333x + -1.5x = 2 + 1.5x + -1.5x

Combine like terms: 1.333x + -1.5x = -0.167x
3.999 + -0.167x = 2 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
3.999 + -0.167x = 2 + 0.0
3.999 + -0.167x = 2

Add '-3.999' to each side of the equation.
3.999 + -3.999 + -0.167x = 2 + -3.999

Combine like terms: 3.999 + -3.999 = 0.000
0.000 + -0.167x = 2 + -3.999
-0.167x = 2 + -3.999

Combine like terms: 2 + -3.999 = -1.999
-0.167x = -1.999

Divide each side by '-0.167'.
x = 11.97005988

Simplifying
x = 11.97005988

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