3(s-6)+2=4(s+2)-21

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Solution for 3(s-6)+2=4(s+2)-21 equation: 


Simplifying
3(s + -6) + 2 = 4(s + 2) + -21

Reorder the terms:
3(-6 + s) + 2 = 4(s + 2) + -21
(-6 * 3 + s * 3) + 2 = 4(s + 2) + -21
(-18 + 3s) + 2 = 4(s + 2) + -21

Reorder the terms:
-18 + 2 + 3s = 4(s + 2) + -21

Combine like terms: -18 + 2 = -16
-16 + 3s = 4(s + 2) + -21

Reorder the terms:
-16 + 3s = 4(2 + s) + -21
-16 + 3s = (2 * 4 + s * 4) + -21
-16 + 3s = (8 + 4s) + -21

Reorder the terms:
-16 + 3s = 8 + -21 + 4s

Combine like terms: 8 + -21 = -13
-16 + 3s = -13 + 4s

Solving
-16 + 3s = -13 + 4s

Solving for variable 's'.

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

Add '-4s' to each side of the equation.
-16 + 3s + -4s = -13 + 4s + -4s

Combine like terms: 3s + -4s = -1s
-16 + -1s = -13 + 4s + -4s

Combine like terms: 4s + -4s = 0
-16 + -1s = -13 + 0
-16 + -1s = -13

Add '16' to each side of the equation.
-16 + 16 + -1s = -13 + 16

Combine like terms: -16 + 16 = 0
0 + -1s = -13 + 16
-1s = -13 + 16

Combine like terms: -13 + 16 = 3
-1s = 3

Divide each side by '-1'.
s = -3

Simplifying
s = -3

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