Make x the subject of formula in ax=b(c+x)

1 answer

To make x the subject of the formula ax = b(c + x), we can follow these steps:

1. Distribute the b on the right side:
ax = bc + bx

2. Move the bx term to the left side by subtracting bx from both sides:
ax - bx = bc

3. Factor out x from the left side:
x(a - b) = bc

4. Divide both sides by (a - b) to isolate x:
x = bc / (a - b)

Therefore, x is the subject of the formula in ax = b(c + x) when x = bc / (a - b).