6+.3(x-9)=.5(2-x)

Solution for 6+.3(x-9)=.5(2-x) equation:

Simplifying
6 + 0.3(x + -9) = 0.5(2 + -1x)

Reorder the terms:
6 + 0.3(-9 + x) = 0.5(2 + -1x)
6 + (-9 * 0.3 + x * 0.3) = 0.5(2 + -1x)
6 + (-2.7 + 0.3x) = 0.5(2 + -1x)

Combine like terms: 6 + -2.7 = 3.3
3.3 + 0.3x = 0.5(2 + -1x)
3.3 + 0.3x = (2 * 0.5 + -1x * 0.5)
3.3 + 0.3x = (1 + -0.5x)

Solving
3.3 + 0.3x = 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.
3.3 + 0.3x + 0.5x = 1 + -0.5x + 0.5x

Combine like terms: 0.3x + 0.5x = 0.8x
3.3 + 0.8x = 1 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
3.3 + 0.8x = 1 + 0.0
3.3 + 0.8x = 1

Add '-3.3' to each side of the equation.
3.3 + -3.3 + 0.8x = 1 + -3.3

Combine like terms: 3.3 + -3.3 = 0.0
0.0 + 0.8x = 1 + -3.3
0.8x = 1 + -3.3

Combine like terms: 1 + -3.3 = -2.3
0.8x = -2.3

Divide each side by '0.8'.
x = -2.875

Simplifying
x = -2.875