3(s-4)+s=-5s+51

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Solution for 3(s-4)+s=-5s+51 equation:


Simplifying
3(s + -4) + s = -5s + 51

Reorder the terms:
3(-4 + s) + s = -5s + 51
(-4 * 3 + s * 3) + s = -5s + 51
(-12 + 3s) + s = -5s + 51

Combine like terms: 3s + s = 4s
-12 + 4s = -5s + 51

Reorder the terms:
-12 + 4s = 51 + -5s

Solving
-12 + 4s = 51 + -5s

Solving for variable 's'.

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

Add '5s' to each side of the equation.
-12 + 4s + 5s = 51 + -5s + 5s

Combine like terms: 4s + 5s = 9s
-12 + 9s = 51 + -5s + 5s

Combine like terms: -5s + 5s = 0
-12 + 9s = 51 + 0
-12 + 9s = 51

Add '12' to each side of the equation.
-12 + 12 + 9s = 51 + 12

Combine like terms: -12 + 12 = 0
0 + 9s = 51 + 12
9s = 51 + 12

Combine like terms: 51 + 12 = 63
9s = 63

Divide each side by '9'.
s = 7

Simplifying
s = 7

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