9(s+10)+7=3s-11

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Solution for 9(s+10)+7=3s-11 equation:


Simplifying
9(s + 10) + 7 = 3s + -11

Reorder the terms:
9(10 + s) + 7 = 3s + -11
(10 * 9 + s * 9) + 7 = 3s + -11
(90 + 9s) + 7 = 3s + -11

Reorder the terms:
90 + 7 + 9s = 3s + -11

Combine like terms: 90 + 7 = 97
97 + 9s = 3s + -11

Reorder the terms:
97 + 9s = -11 + 3s

Solving
97 + 9s = -11 + 3s

Solving for variable 's'.

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

Add '-3s' to each side of the equation.
97 + 9s + -3s = -11 + 3s + -3s

Combine like terms: 9s + -3s = 6s
97 + 6s = -11 + 3s + -3s

Combine like terms: 3s + -3s = 0
97 + 6s = -11 + 0
97 + 6s = -11

Add '-97' to each side of the equation.
97 + -97 + 6s = -11 + -97

Combine like terms: 97 + -97 = 0
0 + 6s = -11 + -97
6s = -11 + -97

Combine like terms: -11 + -97 = -108
6s = -108

Divide each side by '6'.
s = -18

Simplifying
s = -18

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