The solution to the equation
. By adding
to both sides, simplifying, and dividing by 5, the value of x is determined.
To solve the equation
for x, follow these steps:
![\[5x - (6)/(7) = -8\]](https://img.qammunity.org/2022/formulas/mathematics/college/g0vppchr9wja8ut0ephh6yiuw71w82jusr.png)
1. Add
to both sides of the equation to isolate the 5x term:
![\[5x = -8 + (6)/(7)\]](https://img.qammunity.org/2022/formulas/mathematics/college/52m6ajb37xr56kid7rt0anoh8qxryn020m.png)
2. Find a common denominator for -8 and
, which is 7. Rewrite -8 as an equivalent fraction:
![\[5x = -(56)/(7) + (6)/(7)\]](https://img.qammunity.org/2022/formulas/mathematics/college/zbubfjer3gq92x28op921bjyn0xjhdf5ca.png)
3. Combine the fractions on the right side:
![\[5x = -(50)/(7)\]](https://img.qammunity.org/2022/formulas/mathematics/college/op28tuzothwob3djxgkdhpv1tnrydnqzyb.png)
4. Divide both sides by 5 to solve for x:
![\[x = -(50)/(35)\]](https://img.qammunity.org/2022/formulas/mathematics/college/jfltnwuxvkjfqoc1i547qohczlenlmgwai.png)
5. Simplify the fraction, if possible:
![\[x = -(10)/(7)\]](https://img.qammunity.org/2022/formulas/mathematics/college/7lcu44ga9e07gyqmckch2ezgad4jrnboka.png)
So, the solution to the equation
