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

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


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

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

Reorder the terms:
-10 + 5a = 3(2 + a)
-10 + 5a = (2 * 3 + a * 3)
-10 + 5a = (6 + 3a)

Solving
-10 + 5a = 6 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-10 + 5a + -3a = 6 + 3a + -3a

Combine like terms: 5a + -3a = 2a
-10 + 2a = 6 + 3a + -3a

Combine like terms: 3a + -3a = 0
-10 + 2a = 6 + 0
-10 + 2a = 6

Add '10' to each side of the equation.
-10 + 10 + 2a = 6 + 10

Combine like terms: -10 + 10 = 0
0 + 2a = 6 + 10
2a = 6 + 10

Combine like terms: 6 + 10 = 16
2a = 16

Divide each side by '2'.
a = 8

Simplifying
a = 8

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