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

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


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

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

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

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

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

Remove parenthesis around (2 + 3s)
-2 + 10s = 2 + 3s

Solving
-2 + 10s = 2 + 3s

Solving for variable 's'.

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

Add '-3s' to each side of the equation.
-2 + 10s + -3s = 2 + 3s + -3s

Combine like terms: 10s + -3s = 7s
-2 + 7s = 2 + 3s + -3s

Combine like terms: 3s + -3s = 0
-2 + 7s = 2 + 0
-2 + 7s = 2

Add '2' to each side of the equation.
-2 + 2 + 7s = 2 + 2

Combine like terms: -2 + 2 = 0
0 + 7s = 2 + 2
7s = 2 + 2

Combine like terms: 2 + 2 = 4
7s = 4

Divide each side by '7'.
s = 0.5714285714

Simplifying
s = 0.5714285714

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