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

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

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

Reorder the terms:
-3(2 + a) = 1 + 4a
(2 * -3 + a * -3) = 1 + 4a
(-6 + -3a) = 1 + 4a

Solving
-6 + -3a = 1 + 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.
-6 + -3a + -4a = 1 + 4a + -4a

Combine like terms: -3a + -4a = -7a
-6 + -7a = 1 + 4a + -4a

Combine like terms: 4a + -4a = 0
-6 + -7a = 1 + 0
-6 + -7a = 1

Add '6' to each side of the equation.
-6 + 6 + -7a = 1 + 6

Combine like terms: -6 + 6 = 0
0 + -7a = 1 + 6
-7a = 1 + 6

Combine like terms: 1 + 6 = 7
-7a = 7

Divide each side by '-7'.
a = -1

Simplifying
a = -1