6+9(x-1)=3-9(x-1)

Solution for 6+9(x-1)=3-9(x-1) equation:

Simplifying
6 + 9(x + -1) = 3 + -9(x + -1)

Reorder the terms:
6 + 9(-1 + x) = 3 + -9(x + -1)
6 + (-1 * 9 + x * 9) = 3 + -9(x + -1)
6 + (-9 + 9x) = 3 + -9(x + -1)

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

Reorder the terms:
-3 + 9x = 3 + -9(-1 + x)
-3 + 9x = 3 + (-1 * -9 + x * -9)
-3 + 9x = 3 + (9 + -9x)

Combine like terms: 3 + 9 = 12
-3 + 9x = 12 + -9x

Solving
-3 + 9x = 12 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-3 + 9x + 9x = 12 + -9x + 9x

Combine like terms: 9x + 9x = 18x
-3 + 18x = 12 + -9x + 9x

Combine like terms: -9x + 9x = 0
-3 + 18x = 12 + 0
-3 + 18x = 12

Add '3' to each side of the equation.
-3 + 3 + 18x = 12 + 3

Combine like terms: -3 + 3 = 0
0 + 18x = 12 + 3
18x = 12 + 3

Combine like terms: 12 + 3 = 15
18x = 15

Divide each side by '18'.
x = 0.8333333333

Simplifying
x = 0.8333333333