10+5(a-3)=9-2a

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Solution for 10+5(a-3)=9-2a equation:


Simplifying
10 + 5(a + -3) = 9 + -2a

Reorder the terms:
10 + 5(-3 + a) = 9 + -2a
10 + (-3 * 5 + a * 5) = 9 + -2a
10 + (-15 + 5a) = 9 + -2a

Combine like terms: 10 + -15 = -5
-5 + 5a = 9 + -2a

Solving
-5 + 5a = 9 + -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.
-5 + 5a + 2a = 9 + -2a + 2a

Combine like terms: 5a + 2a = 7a
-5 + 7a = 9 + -2a + 2a

Combine like terms: -2a + 2a = 0
-5 + 7a = 9 + 0
-5 + 7a = 9

Add '5' to each side of the equation.
-5 + 5 + 7a = 9 + 5

Combine like terms: -5 + 5 = 0
0 + 7a = 9 + 5
7a = 9 + 5

Combine like terms: 9 + 5 = 14
7a = 14

Divide each side by '7'.
a = 2

Simplifying
a = 2

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