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Solve for [tex]x[/tex].

[tex]\frac{3}{5} x - 5 = 7[/tex]

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]

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