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Explain how to solve the equation 3/4x + 5 = 11

User Meena
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2 Answers

4 votes

Final answer:

To solve the equation 3/4x + 5 = 11, subtract 5 from both sides to get 3/4x = 6, then multiply both sides by the reciprocal of 3/4, which is 4/3, to find that x = 8.

Step-by-step explanation:

To solve the equation 3/4x + 5 = 11, first, we should isolate the variable x on one side. We can do this by subtracting 5 from both sides of the equation, which gives us:

3/4x = 11 - 5

3/4x = 6

Next, we need to get x by itself by multiplying both sides of the equation by the reciprocal of 3/4, which is 4/3. This gives us:

x = 6 × (4/3)

x = 8

The solution to the equation is x = 8.

User Tracy Snell
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4.2k points
2 votes
3/4x + 5 = 11
Move the 5 over to the right side (subtract 5 from both sides)

3/4x= 6
Multiply both sides by 4 to remove denominator (makes it easier)

3x= 24

Divide 24 by 3

X=8

User Rvange
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4.6k points