Respuesta :

Answer:

x = [tex]\frac{cd}{a-b-d}[/tex]

Step-by-step explanation:

Given

[tex]\frac{ax-bx}{x+c}[/tex] = d ← multiply both sides by (x + c)

ax - bx = d(x + c) ← distribute parenthesis

ax - bx = dx + cd ( subtract dx from both sides )

ax - bx - dx = cd ← factor out x from each term on the left side

x(a - b - d) = cd ← divide both sides by (a - b - d)

x = [tex]\frac{cd}{a-b-d}[/tex]

Answer:

Step-by-step explanation:

(ax-bx)/(x+c)=d

ax - bx = d * (x+c)

ax - bx = dx + cd

ax - bx - dx = cd

x * (a-b-d) = cd

x = cd/(a-b-d)