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

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

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

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

Reorder the terms:
6 + 4x + -3(-5 + x) = 4
6 + 4x + (-5 * -3 + x * -3) = 4
6 + 4x + (15 + -3x) = 4

Reorder the terms:
6 + 15 + 4x + -3x = 4

Combine like terms: 6 + 15 = 21
21 + 4x + -3x = 4

Combine like terms: 4x + -3x = 1x
21 + 1x = 4

Solving
21 + 1x = 4

Solving for variable 'x'.

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

Add '-21' to each side of the equation.
21 + -21 + 1x = 4 + -21

Combine like terms: 21 + -21 = 0
0 + 1x = 4 + -21
1x = 4 + -21

Combine like terms: 4 + -21 = -17
1x = -17

Divide each side by '1'.
x = -17

Simplifying
x = -17