10a-2(a+3)=5a

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Solution for 10a-2(a+3)=5a equation:


Simplifying
10a + -2(a + 3) = 5a

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

Reorder the terms:
-6 + 10a + -2a = 5a

Combine like terms: 10a + -2a = 8a
-6 + 8a = 5a

Solving
-6 + 8a = 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
-6 + 8a + -5a = 5a + -5a

Combine like terms: 8a + -5a = 3a
-6 + 3a = 5a + -5a

Combine like terms: 5a + -5a = 0
-6 + 3a = 0

Add '6' to each side of the equation.
-6 + 6 + 3a = 0 + 6

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

Combine like terms: 0 + 6 = 6
3a = 6

Divide each side by '3'.
a = 2

Simplifying
a = 2

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