4a-12=3(a+1)+14a+1

Solution for 4a-12=3(a+1)+14a+1 equation:

Simplifying
4a + -12 = 3(a + 1) + 14a + 1

Reorder the terms:
-12 + 4a = 3(a + 1) + 14a + 1

Reorder the terms:
-12 + 4a = 3(1 + a) + 14a + 1
-12 + 4a = (1 * 3 + a * 3) + 14a + 1
-12 + 4a = (3 + 3a) + 14a + 1

Reorder the terms:
-12 + 4a = 3 + 1 + 3a + 14a

Combine like terms: 3 + 1 = 4
-12 + 4a = 4 + 3a + 14a

Combine like terms: 3a + 14a = 17a
-12 + 4a = 4 + 17a

Solving
-12 + 4a = 4 + 17a

Solving for variable 'a'.

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

Add '-17a' to each side of the equation.
-12 + 4a + -17a = 4 + 17a + -17a

Combine like terms: 4a + -17a = -13a
-12 + -13a = 4 + 17a + -17a

Combine like terms: 17a + -17a = 0
-12 + -13a = 4 + 0
-12 + -13a = 4

Add '12' to each side of the equation.
-12 + 12 + -13a = 4 + 12

Combine like terms: -12 + 12 = 0
0 + -13a = 4 + 12
-13a = 4 + 12

Combine like terms: 4 + 12 = 16
-13a = 16

Divide each side by '-13'.
a = -1.230769231

Simplifying
a = -1.230769231