3(s-10)+4(s-18)=10

Solution for 3(s-10)+4(s-18)=10 equation:

Simplifying
3(s + -10) + 4(s + -18) = 10

Reorder the terms:
3(-10 + s) + 4(s + -18) = 10
(-10 * 3 + s * 3) + 4(s + -18) = 10
(-30 + 3s) + 4(s + -18) = 10

Reorder the terms:
-30 + 3s + 4(-18 + s) = 10
-30 + 3s + (-18 * 4 + s * 4) = 10
-30 + 3s + (-72 + 4s) = 10

Reorder the terms:
-30 + -72 + 3s + 4s = 10

Combine like terms: -30 + -72 = -102
-102 + 3s + 4s = 10

Combine like terms: 3s + 4s = 7s
-102 + 7s = 10

Solving
-102 + 7s = 10

Solving for variable 's'.

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

Add '102' to each side of the equation.
-102 + 102 + 7s = 10 + 102

Combine like terms: -102 + 102 = 0
0 + 7s = 10 + 102
7s = 10 + 102

Combine like terms: 10 + 102 = 112
7s = 112

Divide each side by '7'.
s = 16

Simplifying
s = 16