2(5a+6)=2(3a+8)

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Solution for 2(5a+6)=2(3a+8) equation: 


Simplifying
2(5a + 6) = 2(3a + 8)

Reorder the terms:
2(6 + 5a) = 2(3a + 8)
(6 * 2 + 5a * 2) = 2(3a + 8)
(12 + 10a) = 2(3a + 8)

Reorder the terms:
12 + 10a = 2(8 + 3a)
12 + 10a = (8 * 2 + 3a * 2)
12 + 10a = (16 + 6a)

Solving
12 + 10a = 16 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
12 + 10a + -6a = 16 + 6a + -6a

Combine like terms: 10a + -6a = 4a
12 + 4a = 16 + 6a + -6a

Combine like terms: 6a + -6a = 0
12 + 4a = 16 + 0
12 + 4a = 16

Add '-12' to each side of the equation.
12 + -12 + 4a = 16 + -12

Combine like terms: 12 + -12 = 0
0 + 4a = 16 + -12
4a = 16 + -12

Combine like terms: 16 + -12 = 4
4a = 4

Divide each side by '4'.
a = 1

Simplifying
a = 1

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