.333(x+1)=-5(x-2)

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Solution for .333(x+1)=-5(x-2) equation: 


Simplifying
0.333(x + 1) = -5(x + -2)

Reorder the terms:
0.333(1 + x) = -5(x + -2)
(1 * 0.333 + x * 0.333) = -5(x + -2)
(0.333 + 0.333x) = -5(x + -2)

Reorder the terms:
0.333 + 0.333x = -5(-2 + x)
0.333 + 0.333x = (-2 * -5 + x * -5)
0.333 + 0.333x = (10 + -5x)

Solving
0.333 + 0.333x = 10 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
0.333 + 0.333x + 5x = 10 + -5x + 5x

Combine like terms: 0.333x + 5x = 5.333x
0.333 + 5.333x = 10 + -5x + 5x

Combine like terms: -5x + 5x = 0
0.333 + 5.333x = 10 + 0
0.333 + 5.333x = 10

Add '-0.333' to each side of the equation.
0.333 + -0.333 + 5.333x = 10 + -0.333

Combine like terms: 0.333 + -0.333 = 0.000
0.000 + 5.333x = 10 + -0.333
5.333x = 10 + -0.333

Combine like terms: 10 + -0.333 = 9.667
5.333x = 9.667

Divide each side by '5.333'.
x = 1.812675792

Simplifying
x = 1.812675792

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