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To solve the equation 6.24(x+5.9)=20.22 , the first step is to reverse the multiplication. What number should both sides be divided by?(
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8 months ago
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8 months ago
To reverse the multiplication in the equation 6.24(x + 5.9) = 20.22, the first step is to divide both sides of the equation by 6.24. This is done to isolate the variable, x, and solve for its value.
Dividing both sides by 6.24 gives us:
\(\frac{{6.24(x + 5.9)}}{{6.24}} = \frac{{20.22}}{{6.24}}\)
Simplifying the left side, the division of 6.24 by 6.24 cancels out, leaving us with:
x + 5.9 = \(\frac{{20.22}}{{6.24}}\)
Now, we have the equation in which x is no longer multiplied by 6.24. To isolate x, we can then subtract 5.9 from both sides:
x + 5.9 - 5.9 = \(\frac{{20.22}}{{6.24}}} - 5.9
The addition of 5.9 and subtraction of 5.9 on the left side cancel each other out, resulting in:
x = \(\frac{{20.22}}{{6.24}}\) - 5.9
Now you can simplify the right side to find the value of x.
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