Respuesta :

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

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