3(a+2)+4a=2(a-7)

Solution for 3(a+2)+4a=2(a-7) equation:

Simplifying
3(a + 2) + 4a = 2(a + -7)

Reorder the terms:
3(2 + a) + 4a = 2(a + -7)
(2 * 3 + a * 3) + 4a = 2(a + -7)
(6 + 3a) + 4a = 2(a + -7)

Combine like terms: 3a + 4a = 7a
6 + 7a = 2(a + -7)

Reorder the terms:
6 + 7a = 2(-7 + a)
6 + 7a = (-7 * 2 + a * 2)
6 + 7a = (-14 + 2a)

Solving
6 + 7a = -14 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
6 + 7a + -2a = -14 + 2a + -2a

Combine like terms: 7a + -2a = 5a
6 + 5a = -14 + 2a + -2a

Combine like terms: 2a + -2a = 0
6 + 5a = -14 + 0
6 + 5a = -14

Add '-6' to each side of the equation.
6 + -6 + 5a = -14 + -6

Combine like terms: 6 + -6 = 0
0 + 5a = -14 + -6
5a = -14 + -6

Combine like terms: -14 + -6 = -20
5a = -20

Divide each side by '5'.
a = -4

Simplifying
a = -4