40(s+3)-10=30(2s+1)+50

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Solution for 40(s+3)-10=30(2s+1)+50 equation: 


Simplifying
40(s + 3) + -10 = 30(2s + 1) + 50

Reorder the terms:
40(3 + s) + -10 = 30(2s + 1) + 50
(3 * 40 + s * 40) + -10 = 30(2s + 1) + 50
(120 + 40s) + -10 = 30(2s + 1) + 50

Reorder the terms:
120 + -10 + 40s = 30(2s + 1) + 50

Combine like terms: 120 + -10 = 110
110 + 40s = 30(2s + 1) + 50

Reorder the terms:
110 + 40s = 30(1 + 2s) + 50
110 + 40s = (1 * 30 + 2s * 30) + 50
110 + 40s = (30 + 60s) + 50

Reorder the terms:
110 + 40s = 30 + 50 + 60s

Combine like terms: 30 + 50 = 80
110 + 40s = 80 + 60s

Solving
110 + 40s = 80 + 60s

Solving for variable 's'.

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

Add '-60s' to each side of the equation.
110 + 40s + -60s = 80 + 60s + -60s

Combine like terms: 40s + -60s = -20s
110 + -20s = 80 + 60s + -60s

Combine like terms: 60s + -60s = 0
110 + -20s = 80 + 0
110 + -20s = 80

Add '-110' to each side of the equation.
110 + -110 + -20s = 80 + -110

Combine like terms: 110 + -110 = 0
0 + -20s = 80 + -110
-20s = 80 + -110

Combine like terms: 80 + -110 = -30
-20s = -30

Divide each side by '-20'.
s = 1.5

Simplifying
s = 1.5

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