3(2s+5)+4(s-3)=43

Solution for 3(2s+5)+4(s-3)=43 equation:

Simplifying
3(2s + 5) + 4(s + -3) = 43

Reorder the terms:
3(5 + 2s) + 4(s + -3) = 43
(5 * 3 + 2s * 3) + 4(s + -3) = 43
(15 + 6s) + 4(s + -3) = 43

Reorder the terms:
15 + 6s + 4(-3 + s) = 43
15 + 6s + (-3 * 4 + s * 4) = 43
15 + 6s + (-12 + 4s) = 43

Reorder the terms:
15 + -12 + 6s + 4s = 43

Combine like terms: 15 + -12 = 3
3 + 6s + 4s = 43

Combine like terms: 6s + 4s = 10s
3 + 10s = 43

Solving
3 + 10s = 43

Solving for variable 's'.

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

Add '-3' to each side of the equation.
3 + -3 + 10s = 43 + -3

Combine like terms: 3 + -3 = 0
0 + 10s = 43 + -3
10s = 43 + -3

Combine like terms: 43 + -3 = 40
10s = 40

Divide each side by '10'.
s = 4

Simplifying
s = 4