6+.75(x-9)=.25(2-x)

Solution for 6+.75(x-9)=.25(2-x) equation:

Simplifying
6 + 0.75(x + -9) = 0.25(2 + -1x)

Reorder the terms:
6 + 0.75(-9 + x) = 0.25(2 + -1x)
6 + (-9 * 0.75 + x * 0.75) = 0.25(2 + -1x)
6 + (-6.75 + 0.75x) = 0.25(2 + -1x)

Combine like terms: 6 + -6.75 = -0.75
-0.75 + 0.75x = 0.25(2 + -1x)
-0.75 + 0.75x = (2 * 0.25 + -1x * 0.25)
-0.75 + 0.75x = (0.5 + -0.25x)

Solving
-0.75 + 0.75x = 0.5 + -0.25x

Solving for variable 'x'.

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

Add '0.25x' to each side of the equation.
-0.75 + 0.75x + 0.25x = 0.5 + -0.25x + 0.25x

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

Combine like terms: -0.25x + 0.25x = 0.00
-0.75 + 1x = 0.5 + 0.00
-0.75 + 1x = 0.5

Add '0.75' to each side of the equation.
-0.75 + 0.75 + 1x = 0.5 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + 1x = 0.5 + 0.75
1x = 0.5 + 0.75

Combine like terms: 0.5 + 0.75 = 1.25
1x = 1.25

Divide each side by '1'.
x = 1.25

Simplifying
x = 1.25