1.50(x+6)-0.50(x-24)=16

Solution for 1.50(x+6)-0.50(x-24)=16 equation:

Simplifying
1.50(x + 6) + -0.50(x + -24) = 16

Reorder the terms:
1.50(6 + x) + -0.50(x + -24) = 16
(6 * 1.50 + x * 1.50) + -0.50(x + -24) = 16
(9 + 1.50x) + -0.50(x + -24) = 16

Reorder the terms:
9 + 1.50x + -0.50(-24 + x) = 16
9 + 1.50x + (-24 * -0.50 + x * -0.50) = 16
9 + 1.50x + (12 + -0.50x) = 16

Reorder the terms:
9 + 12 + 1.50x + -0.50x = 16

Combine like terms: 9 + 12 = 21
21 + 1.50x + -0.50x = 16

Combine like terms: 1.50x + -0.50x = 1x
21 + 1x = 16

Solving
21 + 1x = 16

Solving for variable 'x'.

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

Add '-21' to each side of the equation.
21 + -21 + 1x = 16 + -21

Combine like terms: 21 + -21 = 0
0 + 1x = 16 + -21
1x = 16 + -21

Combine like terms: 16 + -21 = -5
1x = -5

Divide each side by '1'.
x = -5

Simplifying
x = -5