s-13=3(s-15)+2s

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Solution for s-13=3(s-15)+2s equation:


Simplifying
s + -13 = 3(s + -15) + 2s

Reorder the terms:
-13 + s = 3(s + -15) + 2s

Reorder the terms:
-13 + s = 3(-15 + s) + 2s
-13 + s = (-15 * 3 + s * 3) + 2s
-13 + s = (-45 + 3s) + 2s

Combine like terms: 3s + 2s = 5s
-13 + s = -45 + 5s

Solving
-13 + s = -45 + 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.
-13 + s + -5s = -45 + 5s + -5s

Combine like terms: s + -5s = -4s
-13 + -4s = -45 + 5s + -5s

Combine like terms: 5s + -5s = 0
-13 + -4s = -45 + 0
-13 + -4s = -45

Add '13' to each side of the equation.
-13 + 13 + -4s = -45 + 13

Combine like terms: -13 + 13 = 0
0 + -4s = -45 + 13
-4s = -45 + 13

Combine like terms: -45 + 13 = -32
-4s = -32

Divide each side by '-4'.
s = 8

Simplifying
s = 8

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