2a+3(a-5)=20

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Solution for 2a+3(a-5)=20 equation:


Simplifying
2a + 3(a + -5) = 20

Reorder the terms:
2a + 3(-5 + a) = 20
2a + (-5 * 3 + a * 3) = 20
2a + (-15 + 3a) = 20

Reorder the terms:
-15 + 2a + 3a = 20

Combine like terms: 2a + 3a = 5a
-15 + 5a = 20

Solving
-15 + 5a = 20

Solving for variable 'a'.

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

Add '15' to each side of the equation.
-15 + 15 + 5a = 20 + 15

Combine like terms: -15 + 15 = 0
0 + 5a = 20 + 15
5a = 20 + 15

Combine like terms: 20 + 15 = 35
5a = 35

Divide each side by '5'.
a = 7

Simplifying
a = 7

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