8a-5(a-2)=5a

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Solution for 8a-5(a-2)=5a equation:


Simplifying
8a + -5(a + -2) = 5a

Reorder the terms:
8a + -5(-2 + a) = 5a
8a + (-2 * -5 + a * -5) = 5a
8a + (10 + -5a) = 5a

Reorder the terms:
10 + 8a + -5a = 5a

Combine like terms: 8a + -5a = 3a
10 + 3a = 5a

Solving
10 + 3a = 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.
10 + 3a + -5a = 5a + -5a

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

Combine like terms: 5a + -5a = 0
10 + -2a = 0

Add '-10' to each side of the equation.
10 + -10 + -2a = 0 + -10

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

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

Divide each side by '-2'.
a = 5

Simplifying
a = 5

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