What is the value of x? Show your work.

[tex] \frac{30}{25} = \frac{4x - 4}{20} \\ [/tex]
[tex] \frac{5 \times 6}{5 \times 5} = \frac{4x - 4}{20} \\ [/tex]
[tex] \frac{6}{5} = \frac{4x - 4}{20} \\ [/tex]
Multiply both sides by 20
[tex]20 \times \frac{6}{5} = 20 \times \frac{4x - 4}{20} \\ [/tex]
[tex] \frac{5 \times 4 \times 6}{5} = 4x - 4 \\ [/tex]
[tex]24 = 4x - 4[/tex]
Add both sides 4
[tex]24 + 4 = 4x - 4 + 4[/tex]
[tex]28 = 4x[/tex]
Switch sides
[tex]4x = 28[/tex]
Divide both sides by 4
[tex] \frac{4x}{4} = \frac{28}{4} \\ [/tex]
[tex]x = 7[/tex]
There you go...
Have a great day ❤