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

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


Simplifying
3(4 + a) + -2 = 2(3a + -1)
(4 * 3 + a * 3) + -2 = 2(3a + -1)
(12 + 3a) + -2 = 2(3a + -1)

Reorder the terms:
12 + -2 + 3a = 2(3a + -1)

Combine like terms: 12 + -2 = 10
10 + 3a = 2(3a + -1)

Reorder the terms:
10 + 3a = 2(-1 + 3a)
10 + 3a = (-1 * 2 + 3a * 2)
10 + 3a = (-2 + 6a)

Solving
10 + 3a = -2 + 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.
10 + 3a + -6a = -2 + 6a + -6a

Combine like terms: 3a + -6a = -3a
10 + -3a = -2 + 6a + -6a

Combine like terms: 6a + -6a = 0
10 + -3a = -2 + 0
10 + -3a = -2

Add '-10' to each side of the equation.
10 + -10 + -3a = -2 + -10

Combine like terms: 10 + -10 = 0
0 + -3a = -2 + -10
-3a = -2 + -10

Combine like terms: -2 + -10 = -12
-3a = -12

Divide each side by '-3'.
a = 4

Simplifying
a = 4

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