3(x+2)+4(x-3)=8

Solution for 3(x+2)+4(x-3)=8 equation:

Simplifying
3(x + 2) + 4(x + -3) = 8

Reorder the terms:
3(2 + x) + 4(x + -3) = 8
(2 * 3 + x * 3) + 4(x + -3) = 8
(6 + 3x) + 4(x + -3) = 8

Reorder the terms:
6 + 3x + 4(-3 + x) = 8
6 + 3x + (-3 * 4 + x * 4) = 8
6 + 3x + (-12 + 4x) = 8

Reorder the terms:
6 + -12 + 3x + 4x = 8

Combine like terms: 6 + -12 = -6
-6 + 3x + 4x = 8

Combine like terms: 3x + 4x = 7x
-6 + 7x = 8

Solving
-6 + 7x = 8

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 + 7x = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 7x = 8 + 6
7x = 8 + 6

Combine like terms: 8 + 6 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2