2-8(a+5)=10

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Solution for 2-8(a+5)=10 equation:


Simplifying
2 + -8(a + 5) = 10

Reorder the terms:
2 + -8(5 + a) = 10
2 + (5 * -8 + a * -8) = 10
2 + (-40 + -8a) = 10

Combine like terms: 2 + -40 = -38
-38 + -8a = 10

Solving
-38 + -8a = 10

Solving for variable 'a'.

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

Add '38' to each side of the equation.
-38 + 38 + -8a = 10 + 38

Combine like terms: -38 + 38 = 0
0 + -8a = 10 + 38
-8a = 10 + 38

Combine like terms: 10 + 38 = 48
-8a = 48

Divide each side by '-8'.
a = -6

Simplifying
a = -6

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