Question

M minus 6 over 5 is equal to m plus 10 over 2

Answer 1

To solve the equation

\[
\frac{m - 6}{5} = \frac{m + 10}{2},
\]

we can start by eliminating the fractions. To do this, we can find a common denominator, which in this case is 10. We will multiply both sides of the equation by 10:

\[
10 \cdot \frac{m - 6}{5} = 10 \cdot \frac{m + 10}{2}.
\]

This simplifies to:

\[
2(m - 6) = 5(m + 10).
\]

Next, we will distribute on both sides:

\[
2m - 12 = 5m + 50.
\]

Now, we can isolate \(m\) by moving the terms involving \(m\) to one side and constant terms to the other side. First, subtract \(2m\) from both sides:

\[
-12 = 5m - 2m + 50,
\]
\[
-12 = 3m + 50.
\]

Next, subtract 50 from both sides:

\[
-12 - 50 = 3m,
\]
\[
-62 = 3m.
\]

Finally, divide both sides by 3:

\[
m = \frac{-62}{3}.
\]

Thus, the solution is

\[
m = -\frac{62}{3}.
\]