To solve the equation 34x+5=712, we can follow these steps:Eliminate the fraction by multiplying both sides of the equation by the common denominator, which is 12. This will help us get rid of the fractions.We have:12·(34x+5)=12·(712)Simplifying this equation gives us:3x+60=7Now, let's isolate the term with the variable, which is 3x, by subtracting 60 from both sides of the equation:3x+60−60=7−60This simplifies to:3x=−53To find the value of x, we need to isolate the variable, so we divide both sides of the equation by 3:3x3=−533Simplifying this gives us:x=−533Thus, the solution to the equation 34x+5=712 is x=−533

"3/4x+5=7/12" was answered by our experts

High School
Math Word Problem

Lippy Anne Terpstra

Answered question

2022-09-13

3/4x+5=7/12

Answer & Explanation

madeleinejames20

Skilled2023-06-04Added 165 answers

To solve the equation

\frac{3}{4} x + 5 = \frac{7}{12}

, we can follow these steps:
Eliminate the fraction by multiplying both sides of the equation by the common denominator, which is 12. This will help us get rid of the fractions.
We have:

12 \cdot (\frac{3}{4} x + 5) = 12 \cdot (\frac{7}{12})

Simplifying this equation gives us:

3 x + 60 = 7

Now, let's isolate the term with the variable, which is 3x, by subtracting 60 from both sides of the equation:

3 x + 60 - 60 = 7 - 60

This simplifies to:

3 x = - 53

To find the value of x, we need to isolate the variable, so we divide both sides of the equation by 3:

\frac{3 x}{3} = \frac{- 53}{3}

Simplifying this gives us:

x = - \frac{53}{3}

Thus, the solution to the equation

\frac{3}{4} x + 5 = \frac{7}{12}

x = - \frac{53}{3}

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