5(a-2)=2(10+a)

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Solution for 5(a-2)=2(10+a) equation:


Simplifying
5(a + -2) = 2(10 + a)

Reorder the terms:
5(-2 + a) = 2(10 + a)
(-2 * 5 + a * 5) = 2(10 + a)
(-10 + 5a) = 2(10 + a)
-10 + 5a = (10 * 2 + a * 2)
-10 + 5a = (20 + 2a)

Solving
-10 + 5a = 20 + 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.
-10 + 5a + -2a = 20 + 2a + -2a

Combine like terms: 5a + -2a = 3a
-10 + 3a = 20 + 2a + -2a

Combine like terms: 2a + -2a = 0
-10 + 3a = 20 + 0
-10 + 3a = 20

Add '10' to each side of the equation.
-10 + 10 + 3a = 20 + 10

Combine like terms: -10 + 10 = 0
0 + 3a = 20 + 10
3a = 20 + 10

Combine like terms: 20 + 10 = 30
3a = 30

Divide each side by '3'.
a = 10

Simplifying
a = 10

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