4(a-4)-18=3(a+2)

Solution for 4(a-4)-18=3(a+2) equation:

Simplifying
4(a + -4) + -18 = 3(a + 2)

Reorder the terms:
4(-4 + a) + -18 = 3(a + 2)
(-4 * 4 + a * 4) + -18 = 3(a + 2)
(-16 + 4a) + -18 = 3(a + 2)

Reorder the terms:
-16 + -18 + 4a = 3(a + 2)

Combine like terms: -16 + -18 = -34
-34 + 4a = 3(a + 2)

Reorder the terms:
-34 + 4a = 3(2 + a)
-34 + 4a = (2 * 3 + a * 3)
-34 + 4a = (6 + 3a)

Solving
-34 + 4a = 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.
-34 + 4a + -3a = 6 + 3a + -3a

Combine like terms: 4a + -3a = 1a
-34 + 1a = 6 + 3a + -3a

Combine like terms: 3a + -3a = 0
-34 + 1a = 6 + 0
-34 + 1a = 6

Add '34' to each side of the equation.
-34 + 34 + 1a = 6 + 34

Combine like terms: -34 + 34 = 0
0 + 1a = 6 + 34
1a = 6 + 34

Combine like terms: 6 + 34 = 40
1a = 40

Divide each side by '1'.
a = 40

Simplifying
a = 40