5(2s+15)=10(s+1)-12s

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Solution for 5(2s+15)=10(s+1)-12s equation:


Simplifying
5(2s + 15) = 10(s + 1) + -12s

Reorder the terms:
5(15 + 2s) = 10(s + 1) + -12s
(15 * 5 + 2s * 5) = 10(s + 1) + -12s
(75 + 10s) = 10(s + 1) + -12s

Reorder the terms:
75 + 10s = 10(1 + s) + -12s
75 + 10s = (1 * 10 + s * 10) + -12s
75 + 10s = (10 + 10s) + -12s

Combine like terms: 10s + -12s = -2s
75 + 10s = 10 + -2s

Solving
75 + 10s = 10 + -2s

Solving for variable 's'.

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

Add '2s' to each side of the equation.
75 + 10s + 2s = 10 + -2s + 2s

Combine like terms: 10s + 2s = 12s
75 + 12s = 10 + -2s + 2s

Combine like terms: -2s + 2s = 0
75 + 12s = 10 + 0
75 + 12s = 10

Add '-75' to each side of the equation.
75 + -75 + 12s = 10 + -75

Combine like terms: 75 + -75 = 0
0 + 12s = 10 + -75
12s = 10 + -75

Combine like terms: 10 + -75 = -65
12s = -65

Divide each side by '12'.
s = -5.416666667

Simplifying
s = -5.416666667

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