S+5(3-s)=5(4s+7)+19

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Solution for S+5(3-s)=5(4s+7)+19 equation:


Simplifying
S + 5(3 + -1s) = 5(4s + 7) + 19
S + (3 * 5 + -1s * 5) = 5(4s + 7) + 19
S + (15 + -5s) = 5(4s + 7) + 19

Reorder the terms:
15 + S + -5s = 5(4s + 7) + 19

Reorder the terms:
15 + S + -5s = 5(7 + 4s) + 19
15 + S + -5s = (7 * 5 + 4s * 5) + 19
15 + S + -5s = (35 + 20s) + 19

Reorder the terms:
15 + S + -5s = 35 + 19 + 20s

Combine like terms: 35 + 19 = 54
15 + S + -5s = 54 + 20s

Solving
15 + S + -5s = 54 + 20s

Solving for variable 'S'.

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

Add '-15' to each side of the equation.
15 + S + -15 + -5s = 54 + -15 + 20s

Reorder the terms:
15 + -15 + S + -5s = 54 + -15 + 20s

Combine like terms: 15 + -15 = 0
0 + S + -5s = 54 + -15 + 20s
S + -5s = 54 + -15 + 20s

Combine like terms: 54 + -15 = 39
S + -5s = 39 + 20s

Add '5s' to each side of the equation.
S + -5s + 5s = 39 + 20s + 5s

Combine like terms: -5s + 5s = 0
S + 0 = 39 + 20s + 5s
S = 39 + 20s + 5s

Combine like terms: 20s + 5s = 25s
S = 39 + 25s

Simplifying
S = 39 + 25s

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