3(s-7)=7(s-3)+5

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


Simplifying
3(s + -7) = 7(s + -3) + 5

Reorder the terms:
3(-7 + s) = 7(s + -3) + 5
(-7 * 3 + s * 3) = 7(s + -3) + 5
(-21 + 3s) = 7(s + -3) + 5

Reorder the terms:
-21 + 3s = 7(-3 + s) + 5
-21 + 3s = (-3 * 7 + s * 7) + 5
-21 + 3s = (-21 + 7s) + 5

Reorder the terms:
-21 + 3s = -21 + 5 + 7s

Combine like terms: -21 + 5 = -16
-21 + 3s = -16 + 7s

Solving
-21 + 3s = -16 + 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.
-21 + 3s + -7s = -16 + 7s + -7s

Combine like terms: 3s + -7s = -4s
-21 + -4s = -16 + 7s + -7s

Combine like terms: 7s + -7s = 0
-21 + -4s = -16 + 0
-21 + -4s = -16

Add '21' to each side of the equation.
-21 + 21 + -4s = -16 + 21

Combine like terms: -21 + 21 = 0
0 + -4s = -16 + 21
-4s = -16 + 21

Combine like terms: -16 + 21 = 5
-4s = 5

Divide each side by '-4'.
s = -1.25

Simplifying
s = -1.25

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