3(a-5)=-2a

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Solution for 3(a-5)=-2a equation:


Simplifying
3(a + -5) = -2a

Reorder the terms:
3(-5 + a) = -2a
(-5 * 3 + a * 3) = -2a
(-15 + 3a) = -2a

Solving
-15 + 3a = -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
-15 + 3a + 2a = -2a + 2a

Combine like terms: 3a + 2a = 5a
-15 + 5a = -2a + 2a

Combine like terms: -2a + 2a = 0
-15 + 5a = 0

Add '15' to each side of the equation.
-15 + 15 + 5a = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 5a = 0 + 15
5a = 0 + 15

Combine like terms: 0 + 15 = 15
5a = 15

Divide each side by '5'.
a = 3

Simplifying
a = 3

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