4(x-5)+2(x+13)=24

Solution for 4(x-5)+2(x+13)=24 equation:

Simplifying
4(x + -5) + 2(x + 13) = 24

Reorder the terms:
4(-5 + x) + 2(x + 13) = 24
(-5 * 4 + x * 4) + 2(x + 13) = 24
(-20 + 4x) + 2(x + 13) = 24

Reorder the terms:
-20 + 4x + 2(13 + x) = 24
-20 + 4x + (13 * 2 + x * 2) = 24
-20 + 4x + (26 + 2x) = 24

Reorder the terms:
-20 + 26 + 4x + 2x = 24

Combine like terms: -20 + 26 = 6
6 + 4x + 2x = 24

Combine like terms: 4x + 2x = 6x
6 + 6x = 24

Solving
6 + 6x = 24

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 + 6x = 24 + -6

Combine like terms: 6 + -6 = 0
0 + 6x = 24 + -6
6x = 24 + -6

Combine like terms: 24 + -6 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3