4s-3(s+4)=2(2s+3)+9

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


Simplifying
4s + -3(s + 4) = 2(2s + 3) + 9

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

Reorder the terms:
-12 + 4s + -3s = 2(2s + 3) + 9

Combine like terms: 4s + -3s = 1s
-12 + 1s = 2(2s + 3) + 9

Reorder the terms:
-12 + 1s = 2(3 + 2s) + 9
-12 + 1s = (3 * 2 + 2s * 2) + 9
-12 + 1s = (6 + 4s) + 9

Reorder the terms:
-12 + 1s = 6 + 9 + 4s

Combine like terms: 6 + 9 = 15
-12 + 1s = 15 + 4s

Solving
-12 + 1s = 15 + 4s

Solving for variable 's'.

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

Add '-4s' to each side of the equation.
-12 + 1s + -4s = 15 + 4s + -4s

Combine like terms: 1s + -4s = -3s
-12 + -3s = 15 + 4s + -4s

Combine like terms: 4s + -4s = 0
-12 + -3s = 15 + 0
-12 + -3s = 15

Add '12' to each side of the equation.
-12 + 12 + -3s = 15 + 12

Combine like terms: -12 + 12 = 0
0 + -3s = 15 + 12
-3s = 15 + 12

Combine like terms: 15 + 12 = 27
-3s = 27

Divide each side by '-3'.
s = -9

Simplifying
s = -9

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