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

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

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

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

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

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

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

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

Solving
3 + 1x = 9 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
3 + 1x + 6x = 9 + -6x + 6x

Combine like terms: 1x + 6x = 7x
3 + 7x = 9 + -6x + 6x

Combine like terms: -6x + 6x = 0
3 + 7x = 9 + 0
3 + 7x = 9

Add '-3' to each side of the equation.
3 + -3 + 7x = 9 + -3

Combine like terms: 3 + -3 = 0
0 + 7x = 9 + -3
7x = 9 + -3

Combine like terms: 9 + -3 = 6
7x = 6

Divide each side by '7'.
x = 0.8571428571

Simplifying
x = 0.8571428571