Question

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

Answer 1

$\huge\boxed{x=\frac{3}{2}}$

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 $-6$. $x=\frac{-9}{-6}$

Simplify. $x=\boxed{\frac{3}{2}}$

Answer 2

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