Question

Make x the subject of the formula a x + 2 c = b x + 3 d

Answer 1

x = (3d - 2c)/(a - b)

Explanation:

ax + 2c = bx + 3d

ax - bx = 3d - 2c

x(a - b) = 3d - 2c

x = (3d - 2c)/(a - b)

Answer 2

`\boxed{x = (3d-2c)/(a-b)}`

Explanation:

=>
`ax+2c = bx+3d`

Subtracting bx to both sides

=>
`ax-bx+2c= 3d`

Subtracting 2c to both sides

=>
`ax-bx = 3d-2c`

Taking x common

=>
`x(a-b) = 3d-2c`

Dividing both sides by (a-b)

=>
`x = (3d-2c)/(a-b)`