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

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


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

Reorder the terms:
3(4 + a) = 4(a + -1)
(4 * 3 + a * 3) = 4(a + -1)
(12 + 3a) = 4(a + -1)

Reorder the terms:
12 + 3a = 4(-1 + a)
12 + 3a = (-1 * 4 + a * 4)
12 + 3a = (-4 + 4a)

Solving
12 + 3a = -4 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
12 + 3a + -4a = -4 + 4a + -4a

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

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

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

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

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

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

Simplifying
a = 16

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