6+0.25(x-9)=0.5(2-x)

Solution for 6+0.25(x-9)=0.5(2-x) equation:

Simplifying
6 + 0.25(x + -9) = 0.5(2 + -1x)

Reorder the terms:
6 + 0.25(-9 + x) = 0.5(2 + -1x)
6 + (-9 * 0.25 + x * 0.25) = 0.5(2 + -1x)
6 + (-2.25 + 0.25x) = 0.5(2 + -1x)

Combine like terms: 6 + -2.25 = 3.75
3.75 + 0.25x = 0.5(2 + -1x)
3.75 + 0.25x = (2 * 0.5 + -1x * 0.5)
3.75 + 0.25x = (1 + -0.5x)

Solving
3.75 + 0.25x = 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.
3.75 + 0.25x + 0.5x = 1 + -0.5x + 0.5x

Combine like terms: 0.25x + 0.5x = 0.75x
3.75 + 0.75x = 1 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
3.75 + 0.75x = 1 + 0.0
3.75 + 0.75x = 1

Add '-3.75' to each side of the equation.
3.75 + -3.75 + 0.75x = 1 + -3.75

Combine like terms: 3.75 + -3.75 = 0.00
0.00 + 0.75x = 1 + -3.75
0.75x = 1 + -3.75

Combine like terms: 1 + -3.75 = -2.75
0.75x = -2.75

Divide each side by '0.75'.
x = -3.666666667

Simplifying
x = -3.666666667