5(2s+8)=10(s+3)-40s

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Solution for 5(2s+8)=10(s+3)-40s equation: 


Simplifying
5(2s + 8) = 10(s + 3) + -40s

Reorder the terms:
5(8 + 2s) = 10(s + 3) + -40s
(8 * 5 + 2s * 5) = 10(s + 3) + -40s
(40 + 10s) = 10(s + 3) + -40s

Reorder the terms:
40 + 10s = 10(3 + s) + -40s
40 + 10s = (3 * 10 + s * 10) + -40s
40 + 10s = (30 + 10s) + -40s

Combine like terms: 10s + -40s = -30s
40 + 10s = 30 + -30s

Solving
40 + 10s = 30 + -30s

Solving for variable 's'.

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

Add '30s' to each side of the equation.
40 + 10s + 30s = 30 + -30s + 30s

Combine like terms: 10s + 30s = 40s
40 + 40s = 30 + -30s + 30s

Combine like terms: -30s + 30s = 0
40 + 40s = 30 + 0
40 + 40s = 30

Add '-40' to each side of the equation.
40 + -40 + 40s = 30 + -40

Combine like terms: 40 + -40 = 0
0 + 40s = 30 + -40
40s = 30 + -40

Combine like terms: 30 + -40 = -10
40s = -10

Divide each side by '40'.
s = -0.25

Simplifying
s = -0.25

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