5(a-3)=2(6-2a)

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Solution for 5(a-3)=2(6-2a) equation:


Simplifying
5(a + -3) = 2(6 + -2a)

Reorder the terms:
5(-3 + a) = 2(6 + -2a)
(-3 * 5 + a * 5) = 2(6 + -2a)
(-15 + 5a) = 2(6 + -2a)
-15 + 5a = (6 * 2 + -2a * 2)
-15 + 5a = (12 + -4a)

Solving
-15 + 5a = 12 + -4a

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
-15 + 5a + 4a = 12 + -4a + 4a

Combine like terms: 5a + 4a = 9a
-15 + 9a = 12 + -4a + 4a

Combine like terms: -4a + 4a = 0
-15 + 9a = 12 + 0
-15 + 9a = 12

Add '15' to each side of the equation.
-15 + 15 + 9a = 12 + 15

Combine like terms: -15 + 15 = 0
0 + 9a = 12 + 15
9a = 12 + 15

Combine like terms: 12 + 15 = 27
9a = 27

Divide each side by '9'.
a = 3

Simplifying
a = 3

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