2(x-3)+3(x-2)=23

Solution for 2(x-3)+3(x-2)=23 equation:

Simplifying
2(x + -3) + 3(x + -2) = 23

Reorder the terms:
2(-3 + x) + 3(x + -2) = 23
(-3 * 2 + x * 2) + 3(x + -2) = 23
(-6 + 2x) + 3(x + -2) = 23

Reorder the terms:
-6 + 2x + 3(-2 + x) = 23
-6 + 2x + (-2 * 3 + x * 3) = 23
-6 + 2x + (-6 + 3x) = 23

Reorder the terms:
-6 + -6 + 2x + 3x = 23

Combine like terms: -6 + -6 = -12
-12 + 2x + 3x = 23

Combine like terms: 2x + 3x = 5x
-12 + 5x = 23

Solving
-12 + 5x = 23

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 5x = 23 + 12

Combine like terms: -12 + 12 = 0
0 + 5x = 23 + 12
5x = 23 + 12

Combine like terms: 23 + 12 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7