(6+2x)-(3-4x)=5

Solution for (6+2x)-(3-4x)=5 equation:

Simplifying
(6 + 2x) + -1(3 + -4x) = 5

Remove parenthesis around (6 + 2x)
6 + 2x + -1(3 + -4x) = 5
6 + 2x + (3 * -1 + -4x * -1) = 5
6 + 2x + (-3 + 4x) = 5

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

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

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

Solving
3 + 6x = 5

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 + 6x = 5 + -3

Combine like terms: 3 + -3 = 0
0 + 6x = 5 + -3
6x = 5 + -3

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

Divide each side by '6'.
x = 0.3333333333

Simplifying
x = 0.3333333333