1.333(6x-1)=7-x

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Solution for 1.333(6x-1)=7-x equation: 


Simplifying
1.333(6x + -1) = 7 + -1x

Reorder the terms:
1.333(-1 + 6x) = 7 + -1x
(-1 * 1.333 + 6x * 1.333) = 7 + -1x
(-1.333 + 7.998x) = 7 + -1x

Solving
-1.333 + 7.998x = 7 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-1.333 + 7.998x + x = 7 + -1x + x

Combine like terms: 7.998x + x = 8.998x
-1.333 + 8.998x = 7 + -1x + x

Combine like terms: -1x + x = 0
-1.333 + 8.998x = 7 + 0
-1.333 + 8.998x = 7

Add '1.333' to each side of the equation.
-1.333 + 1.333 + 8.998x = 7 + 1.333

Combine like terms: -1.333 + 1.333 = 0.000
0.000 + 8.998x = 7 + 1.333
8.998x = 7 + 1.333

Combine like terms: 7 + 1.333 = 8.333
8.998x = 8.333

Divide each side by '8.998'.
x = 0.9260946877

Simplifying
x = 0.9260946877

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