3(5s-2)-6=3(8s+4)-3

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Solution for 3(5s-2)-6=3(8s+4)-3 equation:


Simplifying
3(5s + -2) + -6 = 3(8s + 4) + -3

Reorder the terms:
3(-2 + 5s) + -6 = 3(8s + 4) + -3
(-2 * 3 + 5s * 3) + -6 = 3(8s + 4) + -3
(-6 + 15s) + -6 = 3(8s + 4) + -3

Reorder the terms:
-6 + -6 + 15s = 3(8s + 4) + -3

Combine like terms: -6 + -6 = -12
-12 + 15s = 3(8s + 4) + -3

Reorder the terms:
-12 + 15s = 3(4 + 8s) + -3
-12 + 15s = (4 * 3 + 8s * 3) + -3
-12 + 15s = (12 + 24s) + -3

Reorder the terms:
-12 + 15s = 12 + -3 + 24s

Combine like terms: 12 + -3 = 9
-12 + 15s = 9 + 24s

Solving
-12 + 15s = 9 + 24s

Solving for variable 's'.

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

Add '-24s' to each side of the equation.
-12 + 15s + -24s = 9 + 24s + -24s

Combine like terms: 15s + -24s = -9s
-12 + -9s = 9 + 24s + -24s

Combine like terms: 24s + -24s = 0
-12 + -9s = 9 + 0
-12 + -9s = 9

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

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

Combine like terms: 9 + 12 = 21
-9s = 21

Divide each side by '-9'.
s = -2.333333333

Simplifying
s = -2.333333333

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