Question

Solve the equation by first clearing the decimals.
0.92x + 0.96(12 - x) = 11.28

Answer 1

To clear the decimals, we can multiply both sides of the equation by 100 since there are two decimal places in the numbers.

100 * (0.92x + 0.96(12 - x)) = 100 * 11.28

92x + 96(12 - x) = 1128

Now let's distribute the 96:

92x + 1152 - 96x = 1128

Combine like terms:

-4x + 1152 = 1128

Subtract 1152 from both sides:

-4x = 1128 - 1152
-4x = -24

Divide by -4:

x = -24 / -4
x = 6

The solution to the equation is x = 6.