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

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


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

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

Combine like terms: 1 + 2 = 3
3 + 2a = 3(a + 4)

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

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

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

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

Add '-3' to each side of the equation.
3 + -3 + -1a = 12 + -3

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

Combine like terms: 12 + -3 = 9
-1a = 9

Divide each side by '-1'.
a = -9

Simplifying
a = -9

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