3(5a+5)-9s=3(2s+2)-8

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Solution for 3(5a+5)-9s=3(2s+2)-8 equation:


Simplifying
3(5a + 5) + -9s = 3(2s + 2) + -8

Reorder the terms:
3(5 + 5a) + -9s = 3(2s + 2) + -8
(5 * 3 + 5a * 3) + -9s = 3(2s + 2) + -8
(15 + 15a) + -9s = 3(2s + 2) + -8

Reorder the terms:
15 + 15a + -9s = 3(2 + 2s) + -8
15 + 15a + -9s = (2 * 3 + 2s * 3) + -8
15 + 15a + -9s = (6 + 6s) + -8

Reorder the terms:
15 + 15a + -9s = 6 + -8 + 6s

Combine like terms: 6 + -8 = -2
15 + 15a + -9s = -2 + 6s

Solving
15 + 15a + -9s = -2 + 6s

Solving for variable 'a'.

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

Add '-15' to each side of the equation.
15 + 15a + -15 + -9s = -2 + -15 + 6s

Reorder the terms:
15 + -15 + 15a + -9s = -2 + -15 + 6s

Combine like terms: 15 + -15 = 0
0 + 15a + -9s = -2 + -15 + 6s
15a + -9s = -2 + -15 + 6s

Combine like terms: -2 + -15 = -17
15a + -9s = -17 + 6s

Add '9s' to each side of the equation.
15a + -9s + 9s = -17 + 6s + 9s

Combine like terms: -9s + 9s = 0
15a + 0 = -17 + 6s + 9s
15a = -17 + 6s + 9s

Combine like terms: 6s + 9s = 15s
15a = -17 + 15s

Divide each side by '15'.
a = -1.133333333 + s

Simplifying
a = -1.133333333 + s

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