2(x-3)+3(x+1)=7

Solution for 2(x-3)+3(x+1)=7 equation:

Simplifying
2(x + -3) + 3(x + 1) = 7

Reorder the terms:
2(-3 + x) + 3(x + 1) = 7
(-3 * 2 + x * 2) + 3(x + 1) = 7
(-6 + 2x) + 3(x + 1) = 7

Reorder the terms:
-6 + 2x + 3(1 + x) = 7
-6 + 2x + (1 * 3 + x * 3) = 7
-6 + 2x + (3 + 3x) = 7

Reorder the terms:
-6 + 3 + 2x + 3x = 7

Combine like terms: -6 + 3 = -3
-3 + 2x + 3x = 7

Combine like terms: 2x + 3x = 5x
-3 + 5x = 7

Solving
-3 + 5x = 7

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 5x = 7 + 3

Combine like terms: -3 + 3 = 0
0 + 5x = 7 + 3
5x = 7 + 3

Combine like terms: 7 + 3 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2