3(a+2)=-4a-10

Solution for 3(a+2)=-4a-10 equation:

Simplifying
3(a + 2) = -4a + -10

Reorder the terms:
3(2 + a) = -4a + -10
(2 * 3 + a * 3) = -4a + -10
(6 + 3a) = -4a + -10

Reorder the terms:
6 + 3a = -10 + -4a

Solving
6 + 3a = -10 + -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 = -10 + -4a + 4a

Combine like terms: 3a + 4a = 7a
6 + 7a = -10 + -4a + 4a

Combine like terms: -4a + 4a = 0
6 + 7a = -10 + 0
6 + 7a = -10

Add '-6' to each side of the equation.
6 + -6 + 7a = -10 + -6

Combine like terms: 6 + -6 = 0
0 + 7a = -10 + -6
7a = -10 + -6

Combine like terms: -10 + -6 = -16
7a = -16

Divide each side by '7'.
a = -2.285714286

Simplifying
a = -2.285714286