3(s-9)=7(s-2)+7

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Solution for 3(s-9)=7(s-2)+7 equation: 


Simplifying
3(s + -9) = 7(s + -2) + 7

Reorder the terms:
3(-9 + s) = 7(s + -2) + 7
(-9 * 3 + s * 3) = 7(s + -2) + 7
(-27 + 3s) = 7(s + -2) + 7

Reorder the terms:
-27 + 3s = 7(-2 + s) + 7
-27 + 3s = (-2 * 7 + s * 7) + 7
-27 + 3s = (-14 + 7s) + 7

Reorder the terms:
-27 + 3s = -14 + 7 + 7s

Combine like terms: -14 + 7 = -7
-27 + 3s = -7 + 7s

Solving
-27 + 3s = -7 + 7s

Solving for variable 's'.

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

Add '-7s' to each side of the equation.
-27 + 3s + -7s = -7 + 7s + -7s

Combine like terms: 3s + -7s = -4s
-27 + -4s = -7 + 7s + -7s

Combine like terms: 7s + -7s = 0
-27 + -4s = -7 + 0
-27 + -4s = -7

Add '27' to each side of the equation.
-27 + 27 + -4s = -7 + 27

Combine like terms: -27 + 27 = 0
0 + -4s = -7 + 27
-4s = -7 + 27

Combine like terms: -7 + 27 = 20
-4s = 20

Divide each side by '-4'.
s = -5

Simplifying
s = -5

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