2(4a-2)=3(2+2a)

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Solution for 2(4a-2)=3(2+2a) equation:


Simplifying
2(4a + -2) = 3(2 + 2a)

Reorder the terms:
2(-2 + 4a) = 3(2 + 2a)
(-2 * 2 + 4a * 2) = 3(2 + 2a)
(-4 + 8a) = 3(2 + 2a)
-4 + 8a = (2 * 3 + 2a * 3)
-4 + 8a = (6 + 6a)

Solving
-4 + 8a = 6 + 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.
-4 + 8a + -6a = 6 + 6a + -6a

Combine like terms: 8a + -6a = 2a
-4 + 2a = 6 + 6a + -6a

Combine like terms: 6a + -6a = 0
-4 + 2a = 6 + 0
-4 + 2a = 6

Add '4' to each side of the equation.
-4 + 4 + 2a = 6 + 4

Combine like terms: -4 + 4 = 0
0 + 2a = 6 + 4
2a = 6 + 4

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

Divide each side by '2'.
a = 5

Simplifying
a = 5

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