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
[tex]\huge\boxed{x=\frac{3}{2}}[/tex]
We need to isolate [tex]x[/tex].
[tex]1-2x+5=4x-3[/tex]
Rearrange the terms a little bit. [tex]-2x+1+5=4x-3[/tex]
Add the like terms. [tex]-2x+6=4x-3[/tex]
Subtract [tex]4x[/tex] from both sides. [tex]-2x-4x+6=-3[/tex]
Subtract [tex]6[/tex] from both sides. [tex]-2x-4x=-3-6[/tex]
Combine the like terms. [tex]-6x=-9[/tex]
Divide both sides by [tex]-6[/tex]. [tex]x=\frac{-9}{-6}[/tex]
Simplify. [tex]x=\boxed{\frac{3}{2}}[/tex]
