2s+(s+2)=(5s-10)

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Solution for 2s+(s+2)=(5s-10) equation:


Simplifying
2s + (s + 2) = (5s + -10)

Reorder the terms:
2s + (2 + s) = (5s + -10)

Remove parenthesis around (2 + s)
2s + 2 + s = (5s + -10)

Reorder the terms:
2 + 2s + s = (5s + -10)

Combine like terms: 2s + s = 3s
2 + 3s = (5s + -10)

Reorder the terms:
2 + 3s = (-10 + 5s)

Remove parenthesis around (-10 + 5s)
2 + 3s = -10 + 5s

Solving
2 + 3s = -10 + 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.
2 + 3s + -5s = -10 + 5s + -5s

Combine like terms: 3s + -5s = -2s
2 + -2s = -10 + 5s + -5s

Combine like terms: 5s + -5s = 0
2 + -2s = -10 + 0
2 + -2s = -10

Add '-2' to each side of the equation.
2 + -2 + -2s = -10 + -2

Combine like terms: 2 + -2 = 0
0 + -2s = -10 + -2
-2s = -10 + -2

Combine like terms: -10 + -2 = -12
-2s = -12

Divide each side by '-2'.
s = 6

Simplifying
s = 6

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