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

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


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

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

Reorder the terms:
4 + 2a = 3(-4 + a)
4 + 2a = (-4 * 3 + a * 3)
4 + 2a = (-12 + 3a)

Solving
4 + 2a = -12 + 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.
4 + 2a + -3a = -12 + 3a + -3a

Combine like terms: 2a + -3a = -1a
4 + -1a = -12 + 3a + -3a

Combine like terms: 3a + -3a = 0
4 + -1a = -12 + 0
4 + -1a = -12

Add '-4' to each side of the equation.
4 + -4 + -1a = -12 + -4

Combine like terms: 4 + -4 = 0
0 + -1a = -12 + -4
-1a = -12 + -4

Combine like terms: -12 + -4 = -16
-1a = -16

Divide each side by '-1'.
a = 16

Simplifying
a = 16

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