-3(5s-4)-12=-2(9s+10)-2

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Solution for -3(5s-4)-12=-2(9s+10)-2 equation:


Simplifying
-3(5s + -4) + -12 = -2(9s + 10) + -2

Reorder the terms:
-3(-4 + 5s) + -12 = -2(9s + 10) + -2
(-4 * -3 + 5s * -3) + -12 = -2(9s + 10) + -2
(12 + -15s) + -12 = -2(9s + 10) + -2

Reorder the terms:
12 + -12 + -15s = -2(9s + 10) + -2

Combine like terms: 12 + -12 = 0
0 + -15s = -2(9s + 10) + -2
-15s = -2(9s + 10) + -2

Reorder the terms:
-15s = -2(10 + 9s) + -2
-15s = (10 * -2 + 9s * -2) + -2
-15s = (-20 + -18s) + -2

Reorder the terms:
-15s = -20 + -2 + -18s

Combine like terms: -20 + -2 = -22
-15s = -22 + -18s

Solving
-15s = -22 + -18s

Solving for variable 's'.

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

Add '18s' to each side of the equation.
-15s + 18s = -22 + -18s + 18s

Combine like terms: -15s + 18s = 3s
3s = -22 + -18s + 18s

Combine like terms: -18s + 18s = 0
3s = -22 + 0
3s = -22

Divide each side by '3'.
s = -7.333333333

Simplifying
s = -7.333333333

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