2(.333x+4)-1=1.333x-3+x

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Solution for 2(.333x+4)-1=1.333x-3+x equation:


Simplifying
2(0.333x + 4) + -1 = 1.333x + -3 + x

Reorder the terms:
2(4 + 0.333x) + -1 = 1.333x + -3 + x
(4 * 2 + 0.333x * 2) + -1 = 1.333x + -3 + x
(8 + 0.666x) + -1 = 1.333x + -3 + x

Reorder the terms:
8 + -1 + 0.666x = 1.333x + -3 + x

Combine like terms: 8 + -1 = 7
7 + 0.666x = 1.333x + -3 + x

Reorder the terms:
7 + 0.666x = -3 + 1.333x + x

Combine like terms: 1.333x + x = 2.333x
7 + 0.666x = -3 + 2.333x

Solving
7 + 0.666x = -3 + 2.333x

Solving for variable 'x'.

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

Add '-2.333x' to each side of the equation.
7 + 0.666x + -2.333x = -3 + 2.333x + -2.333x

Combine like terms: 0.666x + -2.333x = -1.667x
7 + -1.667x = -3 + 2.333x + -2.333x

Combine like terms: 2.333x + -2.333x = 0.000
7 + -1.667x = -3 + 0.000
7 + -1.667x = -3

Add '-7' to each side of the equation.
7 + -7 + -1.667x = -3 + -7

Combine like terms: 7 + -7 = 0
0 + -1.667x = -3 + -7
-1.667x = -3 + -7

Combine like terms: -3 + -7 = -10
-1.667x = -10

Divide each side by '-1.667'.
x = 5.99880024

Simplifying
x = 5.99880024

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