6+1(x-9)=1(2-x)

Solution for 6+1(x-9)=1(2-x) equation:

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

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

Combine like terms: 6 + -9 = -3
-3 + 1x = 1(2 + -1x)
-3 + 1x = (2 * 1 + -1x * 1)
-3 + 1x = (2 + -1x)

Solving
-3 + 1x = 2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-3 + 1x + x = 2 + -1x + x

Combine like terms: 1x + x = 2x
-3 + 2x = 2 + -1x + x

Combine like terms: -1x + x = 0
-3 + 2x = 2 + 0
-3 + 2x = 2

Add '3' to each side of the equation.
-3 + 3 + 2x = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = 2 + 3
2x = 2 + 3

Combine like terms: 2 + 3 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5