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

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

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

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

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

Multiply 2 * -1
-6 + 3x = -2

Solving
-6 + 3x = -2

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 3x = -2 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = -2 + 6
3x = -2 + 6

Combine like terms: -2 + 6 = 4
3x = 4

Divide each side by '3'.
x = 1.333333333

Simplifying
x = 1.333333333