5(s+2)=8(s-1)

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Solution for 5(s+2)=8(s-1) equation:


Simplifying
5(s + 2) = 8(s + -1)

Reorder the terms:
5(2 + s) = 8(s + -1)
(2 * 5 + s * 5) = 8(s + -1)
(10 + 5s) = 8(s + -1)

Reorder the terms:
10 + 5s = 8(-1 + s)
10 + 5s = (-1 * 8 + s * 8)
10 + 5s = (-8 + 8s)

Solving
10 + 5s = -8 + 8s

Solving for variable 's'.

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

Add '-8s' to each side of the equation.
10 + 5s + -8s = -8 + 8s + -8s

Combine like terms: 5s + -8s = -3s
10 + -3s = -8 + 8s + -8s

Combine like terms: 8s + -8s = 0
10 + -3s = -8 + 0
10 + -3s = -8

Add '-10' to each side of the equation.
10 + -10 + -3s = -8 + -10

Combine like terms: 10 + -10 = 0
0 + -3s = -8 + -10
-3s = -8 + -10

Combine like terms: -8 + -10 = -18
-3s = -18

Divide each side by '-3'.
s = 6

Simplifying
s = 6

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