15A-5(3A+2)=5(A+3)-5(3-A)

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Solution for 15A-5(3A+2)=5(A+3)-5(3-A) equation:


Simplifying
15A + -5(3A + 2) = 5(A + 3) + -5(3 + -1A)

Reorder the terms:
15A + -5(2 + 3A) = 5(A + 3) + -5(3 + -1A)
15A + (2 * -5 + 3A * -5) = 5(A + 3) + -5(3 + -1A)
15A + (-10 + -15A) = 5(A + 3) + -5(3 + -1A)

Reorder the terms:
-10 + 15A + -15A = 5(A + 3) + -5(3 + -1A)

Combine like terms: 15A + -15A = 0
-10 + 0 = 5(A + 3) + -5(3 + -1A)
-10 = 5(A + 3) + -5(3 + -1A)

Reorder the terms:
-10 = 5(3 + A) + -5(3 + -1A)
-10 = (3 * 5 + A * 5) + -5(3 + -1A)
-10 = (15 + 5A) + -5(3 + -1A)
-10 = 15 + 5A + (3 * -5 + -1A * -5)
-10 = 15 + 5A + (-15 + 5A)

Reorder the terms:
-10 = 15 + -15 + 5A + 5A

Combine like terms: 15 + -15 = 0
-10 = 0 + 5A + 5A
-10 = 5A + 5A

Combine like terms: 5A + 5A = 10A
-10 = 10A

Solving
-10 = 10A

Solving for variable 'A'.

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

Add '-10A' to each side of the equation.
-10 + -10A = 10A + -10A

Combine like terms: 10A + -10A = 0
-10 + -10A = 0

Add '10' to each side of the equation.
-10 + 10 + -10A = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -10A = 0 + 10
-10A = 0 + 10

Combine like terms: 0 + 10 = 10
-10A = 10

Divide each side by '-10'.
A = -1

Simplifying
A = -1

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