we are given
[tex]\frac{7}{5} =\frac{6}{x+4} [/tex]
we are given to solve for x
so, we isolate x on anyone side
step-1:
Multiply both sides by x+4
[tex]\frac{7}{5}\times (x+4) =\frac{6}{x+4}\times (x+4) [/tex]
[tex]\frac{7}{5}\times (x+4) =6 [/tex]
step-2:
Multiply both sides by 5
[tex]\frac{7}{5}\times (x+4)\times 5 =6\times 5 [/tex]
[tex]7 (x+4)=30 [/tex]
step-3:
Distribute 7
[tex]7x+28=30 [/tex]
step-4:
Subtract both sides by 28
[tex]7x+28-28=30-28 [/tex]
[tex]7x=2 [/tex]
step-5:
Divide both sides by 7
[tex]x=\frac{2}{7}[/tex]..............Answer