6+0.333(x-9)=.5(2-x)

Solution for 6+0.333(x-9)=.5(2-x) equation:

Simplifying
6 + 0.333(x + -9) = 0.5(2 + -1x)

Reorder the terms:
6 + 0.333(-9 + x) = 0.5(2 + -1x)
6 + (-9 * 0.333 + x * 0.333) = 0.5(2 + -1x)
6 + (-2.997 + 0.333x) = 0.5(2 + -1x)

Combine like terms: 6 + -2.997 = 3.003
3.003 + 0.333x = 0.5(2 + -1x)
3.003 + 0.333x = (2 * 0.5 + -1x * 0.5)
3.003 + 0.333x = (1 + -0.5x)

Solving
3.003 + 0.333x = 1 + -0.5x

Solving for variable 'x'.

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

Add '0.5x' to each side of the equation.
3.003 + 0.333x + 0.5x = 1 + -0.5x + 0.5x

Combine like terms: 0.333x + 0.5x = 0.833x
3.003 + 0.833x = 1 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
3.003 + 0.833x = 1 + 0.0
3.003 + 0.833x = 1

Add '-3.003' to each side of the equation.
3.003 + -3.003 + 0.833x = 1 + -3.003

Combine like terms: 3.003 + -3.003 = 0.000
0.000 + 0.833x = 1 + -3.003
0.833x = 1 + -3.003

Combine like terms: 1 + -3.003 = -2.003
0.833x = -2.003

Divide each side by '0.833'.
x = -2.404561825

Simplifying
x = -2.404561825