5(2s-1)+3=3(3s-2)

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Solution for 5(2s-1)+3=3(3s-2) equation:


Simplifying
5(2s + -1) + 3 = 3(3s + -2)

Reorder the terms:
5(-1 + 2s) + 3 = 3(3s + -2)
(-1 * 5 + 2s * 5) + 3 = 3(3s + -2)
(-5 + 10s) + 3 = 3(3s + -2)

Reorder the terms:
-5 + 3 + 10s = 3(3s + -2)

Combine like terms: -5 + 3 = -2
-2 + 10s = 3(3s + -2)

Reorder the terms:
-2 + 10s = 3(-2 + 3s)
-2 + 10s = (-2 * 3 + 3s * 3)
-2 + 10s = (-6 + 9s)

Solving
-2 + 10s = -6 + 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.
-2 + 10s + -9s = -6 + 9s + -9s

Combine like terms: 10s + -9s = 1s
-2 + 1s = -6 + 9s + -9s

Combine like terms: 9s + -9s = 0
-2 + 1s = -6 + 0
-2 + 1s = -6

Add '2' to each side of the equation.
-2 + 2 + 1s = -6 + 2

Combine like terms: -2 + 2 = 0
0 + 1s = -6 + 2
1s = -6 + 2

Combine like terms: -6 + 2 = -4
1s = -4

Divide each side by '1'.
s = -4

Simplifying
s = -4

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