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

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

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

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

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

Reorder the terms:
6 + 8 + 3x + -2x = 3

Combine like terms: 6 + 8 = 14
14 + 3x + -2x = 3

Combine like terms: 3x + -2x = 1x
14 + 1x = 3

Solving
14 + 1x = 3

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + 1x = 3 + -14

Combine like terms: 14 + -14 = 0
0 + 1x = 3 + -14
1x = 3 + -14

Combine like terms: 3 + -14 = -11
1x = -11

Divide each side by '1'.
x = -11

Simplifying
x = -11