Question

What is the solution:

256x + 2 = 43x + 9

Answer 1

x = 7/213

Explanation:

Simplify by removing two on both sides.
256x = 43x + 7
Remove 43x from both sides:
213x = 7
Divide by 213.
213x/213 = 7/213
x = 7/213

Answer 2

`x = \bf (7)/(213)`

Explanation:

To find the solution to the equation, we have to rearrange the equation to make
`x` the subject:

`256x + 2 = 43x + 9`

⇒
`256x + 2 - 2 = 43x + 9 - 2` [Subtracting 2 from both sides]

⇒
`256x = 43x + 7`

⇒
`256x - 43x = 43x + 7 - 43x` [Subtracting
`43x` from each side]

⇒
`213x = 7`

⇒
`(213)/(213)x = (7)/(213)` [Diving both sides by 213]

⇒
`x = \bf (7)/(213)`