2(4a-1)=3(a+2)

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Solution for 2(4a-1)=3(a+2) equation:


Simplifying
2(4a + -1) = 3(a + 2)

Reorder the terms:
2(-1 + 4a) = 3(a + 2)
(-1 * 2 + 4a * 2) = 3(a + 2)
(-2 + 8a) = 3(a + 2)

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

Solving
-2 + 8a = 6 + 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.
-2 + 8a + -3a = 6 + 3a + -3a

Combine like terms: 8a + -3a = 5a
-2 + 5a = 6 + 3a + -3a

Combine like terms: 3a + -3a = 0
-2 + 5a = 6 + 0
-2 + 5a = 6

Add '2' to each side of the equation.
-2 + 2 + 5a = 6 + 2

Combine like terms: -2 + 2 = 0
0 + 5a = 6 + 2
5a = 6 + 2

Combine like terms: 6 + 2 = 8
5a = 8

Divide each side by '5'.
a = 1.6

Simplifying
a = 1.6

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