Problem of the Week

Updated at Jan 6, 2025 12:01 PM

For this week we've brought you this equation problem.

How would you solve the equation 4(w5+2)−4=2454(\frac{w}{5}+2)-4=\frac{24}{5}?

Here are the steps:



4(w5+2)−4=2454(\frac{w}{5}+2)-4=\frac{24}{5}

1
Add 44 to both sides.
4(w5+2)=245+44(\frac{w}{5}+2)=\frac{24}{5}+4

2
Simplify  245+4\frac{24}{5}+4  to  445\frac{44}{5}.
4(w5+2)=4454(\frac{w}{5}+2)=\frac{44}{5}

3
Divide both sides by 44.
w5+2=4454\frac{w}{5}+2=\frac{\frac{44}{5}}{4}

4
Simplify  4454\frac{\frac{44}{5}}{4}  to  445×4\frac{44}{5\times 4}.
w5+2=445×4\frac{w}{5}+2=\frac{44}{5\times 4}

5
Simplify  5×45\times 4  to  2020.
w5+2=4420\frac{w}{5}+2=\frac{44}{20}

6
Simplify  4420\frac{44}{20}  to  115\frac{11}{5}.
w5+2=115\frac{w}{5}+2=\frac{11}{5}

7
Subtract 22 from both sides.
w5=115−2\frac{w}{5}=\frac{11}{5}-2

8
Simplify  115−2\frac{11}{5}-2  to  15\frac{1}{5}.
w5=15\frac{w}{5}=\frac{1}{5}

9
Multiply both sides by 55.
w=15×5w=\frac{1}{5}\times 5

10
Cancel 55.
w=1w=1

Done
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