Question

`(x + 1 )/(2) = (7x - 3)/(2)`
Solve it ok please .​

Answer 1

`\sf x =(2)/(3)`

Step-by-step explanation:

`\sf \rightarrow (x+1)/(2) = (7x-3)/(2)`

cross multiply

`\sf \rightarrow 2(x+1) = 2(7x-3)`

divide both sides by 2

`\sf \rightarrow x + 1 = 7x-3`

isolate variables

`\sf \rightarrow x -7x = -3-1`

simplify

`\sf \rightarrow -6x = -4`

divide both sides by -6

`\sf \rightarrow (-6x)/(-6) = (-4)/(-6)`

simplify

`\sf \rightarrow x =(2)/(3)`

Answer 2

`x=(2)/(3)`

Step-by-step explanation:

Given equation:

`(x+1)/(2)=(7x-3)/(2)`

Step 1: Multiply both sides by
`2`.

`\implies 2\left((x+1)/(2)\right)=2\left((7x-3)/(2)\right)`

`\implies x+1=7x-3`

Step 2: Subtract
`7x` from both sides.

`\implies x-7x+1=7x-7x-3`

`\implies -6x+1=-3`

Step 3: Subtract
`1` from both sides.

`\implies -6x+1-1=-3-1`

`\implies -6x=-4`

Step 4: Divide both sides by
`-6` and simplify.

`\implies (-6x)/(-6)=(-4)/(-6)`

`\implies x=(4)/(6)=\boxed{(2)/(3)}`