16(a-12)+3(10-a)=

Solution for 16(a-12)+3(10-a)= equation:

Simplifying
16(a + -12) + 3(10 + -1a) = 0

Reorder the terms:
16(-12 + a) + 3(10 + -1a) = 0
(-12 * 16 + a * 16) + 3(10 + -1a) = 0
(-192 + 16a) + 3(10 + -1a) = 0
-192 + 16a + (10 * 3 + -1a * 3) = 0
-192 + 16a + (30 + -3a) = 0

Reorder the terms:
-192 + 30 + 16a + -3a = 0

Combine like terms: -192 + 30 = -162
-162 + 16a + -3a = 0

Combine like terms: 16a + -3a = 13a
-162 + 13a = 0

Solving
-162 + 13a = 0

Solving for variable 'a'.

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

Add '162' to each side of the equation.
-162 + 162 + 13a = 0 + 162

Combine like terms: -162 + 162 = 0
0 + 13a = 0 + 162
13a = 0 + 162

Combine like terms: 0 + 162 = 162
13a = 162

Divide each side by '13'.
a = 12.46153846

Simplifying
a = 12.46153846