3(a+2)+18=7a-2(5a+3)

Solution for 3(a+2)+18=7a-2(5a+3) equation:

Simplifying
3(a + 2) + 18 = 7a + -2(5a + 3)

Reorder the terms:
3(2 + a) + 18 = 7a + -2(5a + 3)
(2 * 3 + a * 3) + 18 = 7a + -2(5a + 3)
(6 + 3a) + 18 = 7a + -2(5a + 3)

Reorder the terms:
6 + 18 + 3a = 7a + -2(5a + 3)

Combine like terms: 6 + 18 = 24
24 + 3a = 7a + -2(5a + 3)

Reorder the terms:
24 + 3a = 7a + -2(3 + 5a)
24 + 3a = 7a + (3 * -2 + 5a * -2)
24 + 3a = 7a + (-6 + -10a)

Reorder the terms:
24 + 3a = -6 + 7a + -10a

Combine like terms: 7a + -10a = -3a
24 + 3a = -6 + -3a

Solving
24 + 3a = -6 + -3a

Solving for variable 'a'.

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

Add '3a' to each side of the equation.
24 + 3a + 3a = -6 + -3a + 3a

Combine like terms: 3a + 3a = 6a
24 + 6a = -6 + -3a + 3a

Combine like terms: -3a + 3a = 0
24 + 6a = -6 + 0
24 + 6a = -6

Add '-24' to each side of the equation.
24 + -24 + 6a = -6 + -24

Combine like terms: 24 + -24 = 0
0 + 6a = -6 + -24
6a = -6 + -24

Combine like terms: -6 + -24 = -30
6a = -30

Divide each side by '6'.
a = -5

Simplifying
a = -5