Verified answer

x + bx/c = a

x + bx = ac

x(1 + b) = ac

x = ac / (b + 1)

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The first answerer incorrectly multiplied both sides by c in the first step, due to not multiplying the x term by c.

Here are two correct methods.

Method 1:

x + bx/c = a

c(x + bx/c) = ac

cx + bx = ac

x(b + c) = ac

x = ac/(b + c).

Method 2:

x + bx/c = a

x(1 + b/c) = a

x = a/(1 + b/c) = ac/[c(1 + b/c)] = ac/(c + b) = ac/(b + c).

In either case, x = ac/(b + c).

Lord bless you today!

X Bx

x + bx/c = a

xc + bx = ac (multiply all terms by c)

x(b+c) = ac

x=ac/(b+c) [note: we can divide both sides by (b+c) since (b+c) is NOT equal to zero.]

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