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