8a-2(a+5)=2(a-1)

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Solution for 8a-2(a+5)=2(a-1) equation:


Simplifying
8a + -2(a + 5) = 2(a + -1)

Reorder the terms:
8a + -2(5 + a) = 2(a + -1)
8a + (5 * -2 + a * -2) = 2(a + -1)
8a + (-10 + -2a) = 2(a + -1)

Reorder the terms:
-10 + 8a + -2a = 2(a + -1)

Combine like terms: 8a + -2a = 6a
-10 + 6a = 2(a + -1)

Reorder the terms:
-10 + 6a = 2(-1 + a)
-10 + 6a = (-1 * 2 + a * 2)
-10 + 6a = (-2 + 2a)

Solving
-10 + 6a = -2 + 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.
-10 + 6a + -2a = -2 + 2a + -2a

Combine like terms: 6a + -2a = 4a
-10 + 4a = -2 + 2a + -2a

Combine like terms: 2a + -2a = 0
-10 + 4a = -2 + 0
-10 + 4a = -2

Add '10' to each side of the equation.
-10 + 10 + 4a = -2 + 10

Combine like terms: -10 + 10 = 0
0 + 4a = -2 + 10
4a = -2 + 10

Combine like terms: -2 + 10 = 8
4a = 8

Divide each side by '4'.
a = 2

Simplifying
a = 2

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