8a-2(a-5)=52

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Solution for 8a-2(a-5)=52 equation:


Simplifying
8a + -2(a + -5) = 52

Reorder the terms:
8a + -2(-5 + a) = 52
8a + (-5 * -2 + a * -2) = 52
8a + (10 + -2a) = 52

Reorder the terms:
10 + 8a + -2a = 52

Combine like terms: 8a + -2a = 6a
10 + 6a = 52

Solving
10 + 6a = 52

Solving for variable 'a'.

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

Add '-10' to each side of the equation.
10 + -10 + 6a = 52 + -10

Combine like terms: 10 + -10 = 0
0 + 6a = 52 + -10
6a = 52 + -10

Combine like terms: 52 + -10 = 42
6a = 42

Divide each side by '6'.
a = 7

Simplifying
a = 7

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