9-3(x+2)=1(1-x)

Solution for 9-3(x+2)=1(1-x) equation:

Simplifying
9 + -3(x + 2) = 1(1 + -1x)

Reorder the terms:
9 + -3(2 + x) = 1(1 + -1x)
9 + (2 * -3 + x * -3) = 1(1 + -1x)
9 + (-6 + -3x) = 1(1 + -1x)

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

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

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

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

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

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

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

Divide each side by '-2'.
x = 1

Simplifying
x = 1