Question

6. Solve for x in each of the following equations:

a. m(x + n) =n
b. x( a + b) = b(c - x)
c. mx = n(m + x)​

Answer 1

Explanation:

m(x + n) = n

mx + mn = n

mx = n - mn

x = (n - mn)/m

x(a + b) = b(c - x)

ax + bx = bc - bx

ax + bx + bx = bc

x(a + b + b) = bc

x(a + 2b) = bc

x = bc/(a + 2b)

mx = n(m + x)

mx = mn+ nx

mx - nx = mn

x(m - n) = mn

x = mn/(m-n)