Question

3times -4/5 - 10 = -7

Answer 1

To solve the equation \( 3x - \frac{4}{5} - 10 = -7 \), follow these steps:

1. Combine like terms on the left side.
\[
3x - 10 - \frac{4}{5} = -7
\]
To combine -10 and \(-\frac{4}{5}\), convert -10 to a fraction with a denominator of 5:
\[
-10 = -\frac{50}{5}
\]
So, the equation becomes:
\[
3x - \frac{50}{5} - \frac{4}{5} = -7
\]
Now combine the fractions:
\[
3x - \frac{54}{5} = -7
\]

2. Isolate the term with \( x \) by adding \(\frac{54}{5}\) to both sides:
\[
3x = -7 + \frac{54}{5}
\]
Convert -7 to a fraction with a denominator of 5:
\[
-7 = -\frac{35}{5}
\]
Now combine the fractions:
\[
3x = -\frac{35}{5} + \frac{54}{5} = \frac{54 - 35}{5} = \frac{19}{5}
\]

3. Divide both sides by 3 to solve for \( x \):
\[
x = \frac{19}{5} \div 3 = \frac{19}{5} \times \frac{1}{3} = \frac{19}{15}
\]

So the solution is:
\[
x = \frac{19}{15}
\]