Question

I need help ! 1-2x+5=4x-3

Answer 1

1-2x+5=4x-3

1+5-2x=4x-3

6-2x=4x-3

Move 6 to the other side

Sign changes from +6 to -6

6-6-2x=4x-3-6

-2x=4x-9

Move 4x to the other side

Sign changes from +4x to -4x

-2x-4x=4x-4x-9

-2x-4x=-9

-6x=-9

Divide both sides by -6

-6/-6=-9/-6

x=9/6

reduce the fraction by dividing by 3

9/3=3

6/3=2

Answer: x=3/2 or x=1 1/2

Answer 2

`\huge\boxed{x=(3)/(2)}`

We need to isolate
`x`.

`1-2x+5=4x-3`

Rearrange the terms a little bit.
`-2x+1+5=4x-3`

Add the like terms.
`-2x+6=4x-3`

Subtract
`4x` from both sides.
`-2x-4x+6=-3`

Subtract
`6` from both sides.
`-2x-4x=-3-6`

Combine the like terms.
`-6x=-9`

Divide both sides by
`-6`.
`x=(-9)/(-6)`

Simplify.
`x=\boxed{(3)/(2)}`