2(a+4)=3a+2

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


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

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

Reorder the terms:
8 + 2a = 2 + 3a

Solving
8 + 2a = 2 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
8 + 2a + -3a = 2 + 3a + -3a

Combine like terms: 2a + -3a = -1a
8 + -1a = 2 + 3a + -3a

Combine like terms: 3a + -3a = 0
8 + -1a = 2 + 0
8 + -1a = 2

Add '-8' to each side of the equation.
8 + -8 + -1a = 2 + -8

Combine like terms: 8 + -8 = 0
0 + -1a = 2 + -8
-1a = 2 + -8

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

Divide each side by '-1'.
a = 6

Simplifying
a = 6

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