Answer :
We start with the equation:
[tex]$$
\frac{3}{5}x - 5 = 7.
$$[/tex]
Step 1: Isolate the term with [tex]\( x \)[/tex].
Add 5 to both sides:
[tex]$$
\frac{3}{5}x - 5 + 5 = 7 + 5.
$$[/tex]
This simplifies to:
[tex]$$
\frac{3}{5}x = 12.
$$[/tex]
Step 2: Solve for [tex]\( x \)[/tex] by multiplying both sides by the reciprocal of [tex]\(\frac{3}{5}\)[/tex].
The reciprocal of [tex]\(\frac{3}{5}\)[/tex] is [tex]\(\frac{5}{3}\)[/tex]. Multiplying both sides by [tex]\(\frac{5}{3}\)[/tex] gives:
[tex]$$
x = 12 \times \frac{5}{3}.
$$[/tex]
Step 3: Compute the result.
Calculate the multiplication:
[tex]$$
x = 12 \times \frac{5}{3} = 20.
$$[/tex]
Thus, the solution to the equation is:
[tex]$$
x = 20.
$$[/tex]
[tex]$$
\frac{3}{5}x - 5 = 7.
$$[/tex]
Step 1: Isolate the term with [tex]\( x \)[/tex].
Add 5 to both sides:
[tex]$$
\frac{3}{5}x - 5 + 5 = 7 + 5.
$$[/tex]
This simplifies to:
[tex]$$
\frac{3}{5}x = 12.
$$[/tex]
Step 2: Solve for [tex]\( x \)[/tex] by multiplying both sides by the reciprocal of [tex]\(\frac{3}{5}\)[/tex].
The reciprocal of [tex]\(\frac{3}{5}\)[/tex] is [tex]\(\frac{5}{3}\)[/tex]. Multiplying both sides by [tex]\(\frac{5}{3}\)[/tex] gives:
[tex]$$
x = 12 \times \frac{5}{3}.
$$[/tex]
Step 3: Compute the result.
Calculate the multiplication:
[tex]$$
x = 12 \times \frac{5}{3} = 20.
$$[/tex]
Thus, the solution to the equation is:
[tex]$$
x = 20.
$$[/tex]
