8a-2(5a+7)=20

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Solution for 8a-2(5a+7)=20 equation:


Simplifying
8a + -2(5a + 7) = 20

Reorder the terms:
8a + -2(7 + 5a) = 20
8a + (7 * -2 + 5a * -2) = 20
8a + (-14 + -10a) = 20

Reorder the terms:
-14 + 8a + -10a = 20

Combine like terms: 8a + -10a = -2a
-14 + -2a = 20

Solving
-14 + -2a = 20

Solving for variable 'a'.

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

Add '14' to each side of the equation.
-14 + 14 + -2a = 20 + 14

Combine like terms: -14 + 14 = 0
0 + -2a = 20 + 14
-2a = 20 + 14

Combine like terms: 20 + 14 = 34
-2a = 34

Divide each side by '-2'.
a = -17

Simplifying
a = -17

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