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madam
2 months ago
5

Describe two ways to solve the equation 2(4x-11)=10

Mathematics
1 answer:
AnnZ [12.3K]2 months ago
6 0
2(4x-11) = 10

Method 1:
Divide both sides by 2:
\frac{2(4x-11)}{2} = \frac{10}{2}

4x-11 = 5

Then add 11 to both sides:

4x-11+11 = 11+5

4x = 16

Finally divide both sides by 4

\frac{4x}{4} = \frac{16}{4}

x = 4

Method 2:

Use the distributive property:

2(4x-11) = 10

2*4x- 2*11 = 10

8x - 22 = 10

Add 22 to both sides:

8x - 22+22 = 10+22

8x = 32

Then divide both sides by 8

\frac{8x}{8} = \frac{32}{8}

x = 4
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