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

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

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

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

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

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

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

Solving
-6 + 3x = -1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-6 + 3x + -2x = -1 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-6 + 1x = -1 + 0
-6 + 1x = -1

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

Combine like terms: -6 + 6 = 0
0 + 1x = -1 + 6
1x = -1 + 6

Combine like terms: -1 + 6 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5