1+12a-3(a+1)=a+1

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Solution for 1+12a-3(a+1)=a+1 equation:


Simplifying
1 + 12a + -3(a + 1) = a + 1

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

Reorder the terms:
1 + -3 + 12a + -3a = a + 1

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

Combine like terms: 12a + -3a = 9a
-2 + 9a = a + 1

Reorder the terms:
-2 + 9a = 1 + a

Solving
-2 + 9a = 1 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-2 + 9a + -1a = 1 + a + -1a

Combine like terms: 9a + -1a = 8a
-2 + 8a = 1 + a + -1a

Combine like terms: a + -1a = 0
-2 + 8a = 1 + 0
-2 + 8a = 1

Add '2' to each side of the equation.
-2 + 2 + 8a = 1 + 2

Combine like terms: -2 + 2 = 0
0 + 8a = 1 + 2
8a = 1 + 2

Combine like terms: 1 + 2 = 3
8a = 3

Divide each side by '8'.
a = 0.375

Simplifying
a = 0.375

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