124k views
23 votes
Solve[5x-6/7] = -8 for x
please help

User Eudel
by
6.0k points

2 Answers

9 votes

Answer:

7=7

Explanation:

1 Let x=\frac{13}{5}x=

5

13

.

5\times \frac{13}{5}-6=7

5

13

−6=7

2 Cancel 55.

13-6=7

13−6=7

3 Simplify 13-613−6 to 77.

7=7

7=7

hope this helps.

User Pjohansson
by
6.8k points
9 votes

The solution to the equation
\(5x - (6)/(7) = -8\) is \(x = -(10)/(7)\). By adding
\((6)/(7)\) to both sides, simplifying, and dividing by 5, the value of x is determined.

To solve the equation
\(5x - (6)/(7) = -8\) for x, follow these steps:


\[5x - (6)/(7) = -8\]

1. Add
\((6)/(7)\) to both sides of the equation to isolate the 5x term:


\[5x = -8 + (6)/(7)\]

2. Find a common denominator for -8 and
\((6)/(7)\), which is 7. Rewrite -8 as an equivalent fraction:


\[5x = -(56)/(7) + (6)/(7)\]

3. Combine the fractions on the right side:


\[5x = -(50)/(7)\]

4. Divide both sides by 5 to solve for x:


\[x = -(50)/(35)\]

5. Simplify the fraction, if possible:


\[x = -(10)/(7)\]

So, the solution to the equation
\(5x - (6)/(7) = -8\) is \(x = -(10)/(7)\).

User Travis
by
5.9k points