510=s+(2s+23)+(2s-28)

Solution for 510=s+(2s+23)+(2s-28) equation:

Simplifying
510 = s + (2s + 23) + (2s + -28)

Reorder the terms:
510 = s + (23 + 2s) + (2s + -28)

Remove parenthesis around (23 + 2s)
510 = s + 23 + 2s + (2s + -28)

Reorder the terms:
510 = s + 23 + 2s + (-28 + 2s)

Remove parenthesis around (-28 + 2s)
510 = s + 23 + 2s + -28 + 2s

Reorder the terms:
510 = 23 + -28 + s + 2s + 2s

Combine like terms: 23 + -28 = -5
510 = -5 + s + 2s + 2s

Combine like terms: s + 2s = 3s
510 = -5 + 3s + 2s

Combine like terms: 3s + 2s = 5s
510 = -5 + 5s

Solving
510 = -5 + 5s

Solving for variable 's'.

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

Add '-5s' to each side of the equation.
510 + -5s = -5 + 5s + -5s

Combine like terms: 5s + -5s = 0
510 + -5s = -5 + 0
510 + -5s = -5

Add '-510' to each side of the equation.
510 + -510 + -5s = -5 + -510

Combine like terms: 510 + -510 = 0
0 + -5s = -5 + -510
-5s = -5 + -510

Combine like terms: -5 + -510 = -515
-5s = -515

Divide each side by '-5'.
s = 103

Simplifying
s = 103