5(3s+1)-4s-3(s+(3s+1))=3

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Solution for 5(3s+1)-4s-3(s+(3s+1))=3 equation:


Simplifying
5(3s + 1) + -4s + -3(s + (3s + 1)) = 3

Reorder the terms:
5(1 + 3s) + -4s + -3(s + (3s + 1)) = 3
(1 * 5 + 3s * 5) + -4s + -3(s + (3s + 1)) = 3
(5 + 15s) + -4s + -3(s + (3s + 1)) = 3

Reorder the terms:
5 + 15s + -4s + -3(s + (1 + 3s)) = 3

Remove parenthesis around (1 + 3s)
5 + 15s + -4s + -3(s + 1 + 3s) = 3

Reorder the terms:
5 + 15s + -4s + -3(1 + s + 3s) = 3

Combine like terms: s + 3s = 4s
5 + 15s + -4s + -3(1 + 4s) = 3
5 + 15s + -4s + (1 * -3 + 4s * -3) = 3
5 + 15s + -4s + (-3 + -12s) = 3

Reorder the terms:
5 + -3 + 15s + -4s + -12s = 3

Combine like terms: 5 + -3 = 2
2 + 15s + -4s + -12s = 3

Combine like terms: 15s + -4s = 11s
2 + 11s + -12s = 3

Combine like terms: 11s + -12s = -1s
2 + -1s = 3

Solving
2 + -1s = 3

Solving for variable 's'.

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

Add '-2' to each side of the equation.
2 + -2 + -1s = 3 + -2

Combine like terms: 2 + -2 = 0
0 + -1s = 3 + -2
-1s = 3 + -2

Combine like terms: 3 + -2 = 1
-1s = 1

Divide each side by '-1'.
s = -1

Simplifying
s = -1

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