4x-7=x-1
Since x contains the variable to solve for, move it to the left-hand side of the equation by subtracting x from both sides.
4x-7-x=-1
Since 4x and -x are like terms, add -x to 4x to get 3x.
3x-7=-1
Since -7 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 7 to both sides.
3x=7-1
Subtract 1 from 7 to get 6.
3x=6
Divide each term in the equation by 3.
(3x)/(3)=(6)/(3)
Simplify the left-hand side of the equation by canceling the common terms.
x=(6)/(3)
Simplify the right-hand side of the equation by simplifying each term.
x=2