3(a-7)+5=2(a+3)-4a-16

Solution for 3(a-7)+5=2(a+3)-4a-16 equation:

Simplifying
3(a + -7) + 5 = 2(a + 3) + -4a + -16

Reorder the terms:
3(-7 + a) + 5 = 2(a + 3) + -4a + -16
(-7 * 3 + a * 3) + 5 = 2(a + 3) + -4a + -16
(-21 + 3a) + 5 = 2(a + 3) + -4a + -16

Reorder the terms:
-21 + 5 + 3a = 2(a + 3) + -4a + -16

Combine like terms: -21 + 5 = -16
-16 + 3a = 2(a + 3) + -4a + -16

Reorder the terms:
-16 + 3a = 2(3 + a) + -4a + -16
-16 + 3a = (3 * 2 + a * 2) + -4a + -16
-16 + 3a = (6 + 2a) + -4a + -16

Reorder the terms:
-16 + 3a = 6 + -16 + 2a + -4a

Combine like terms: 6 + -16 = -10
-16 + 3a = -10 + 2a + -4a

Combine like terms: 2a + -4a = -2a
-16 + 3a = -10 + -2a

Solving
-16 + 3a = -10 + -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.
-16 + 3a + 2a = -10 + -2a + 2a

Combine like terms: 3a + 2a = 5a
-16 + 5a = -10 + -2a + 2a

Combine like terms: -2a + 2a = 0
-16 + 5a = -10 + 0
-16 + 5a = -10

Add '16' to each side of the equation.
-16 + 16 + 5a = -10 + 16

Combine like terms: -16 + 16 = 0
0 + 5a = -10 + 16
5a = -10 + 16

Combine like terms: -10 + 16 = 6
5a = 6

Divide each side by '5'.
a = 1.2

Simplifying
a = 1.2