3(x+2)-(2x-4)=5

Solution for 3(x+2)-(2x-4)=5 equation:

Simplifying
3(x + 2) + -1(2x + -4) = 5

Reorder the terms:
3(2 + x) + -1(2x + -4) = 5
(2 * 3 + x * 3) + -1(2x + -4) = 5
(6 + 3x) + -1(2x + -4) = 5

Reorder the terms:
6 + 3x + -1(-4 + 2x) = 5
6 + 3x + (-4 * -1 + 2x * -1) = 5
6 + 3x + (4 + -2x) = 5

Reorder the terms:
6 + 4 + 3x + -2x = 5

Combine like terms: 6 + 4 = 10
10 + 3x + -2x = 5

Combine like terms: 3x + -2x = 1x
10 + 1x = 5

Solving
10 + 1x = 5

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 1x = 5 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 5 + -10
1x = 5 + -10

Combine like terms: 5 + -10 = -5
1x = -5

Divide each side by '1'.
x = -5

Simplifying
x = -5