6(2s-5)=-3(7-3s)

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Solution for 6(2s-5)=-3(7-3s) equation:


Simplifying
6(2s + -5) = -3(7 + -3s)

Reorder the terms:
6(-5 + 2s) = -3(7 + -3s)
(-5 * 6 + 2s * 6) = -3(7 + -3s)
(-30 + 12s) = -3(7 + -3s)
-30 + 12s = (7 * -3 + -3s * -3)
-30 + 12s = (-21 + 9s)

Solving
-30 + 12s = -21 + 9s

Solving for variable 's'.

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

Add '-9s' to each side of the equation.
-30 + 12s + -9s = -21 + 9s + -9s

Combine like terms: 12s + -9s = 3s
-30 + 3s = -21 + 9s + -9s

Combine like terms: 9s + -9s = 0
-30 + 3s = -21 + 0
-30 + 3s = -21

Add '30' to each side of the equation.
-30 + 30 + 3s = -21 + 30

Combine like terms: -30 + 30 = 0
0 + 3s = -21 + 30
3s = -21 + 30

Combine like terms: -21 + 30 = 9
3s = 9

Divide each side by '3'.
s = 3

Simplifying
s = 3

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