Solve x^2+6x-1=x^2-x+6

$${ x }^{ 2 } +6x-1= { x }^{ 2 } -x+6$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Subtract x^{2} from both sides.

$$x^{2}+6x-1-x^{2}=-x+6$$

Combine x^{2} and -x^{2} to get 0.

$$6x-1=-x+6$$

Add x to both sides.

$$6x-1+x=6$$

Combine 6x and x to get 7x.

$$7x-1=6$$

Add 1 to both sides.

$$7x=6+1$$

Add 6 and 1 to get 7.

$$7x=7$$

Divide both sides by 7.

$$x=\frac{7}{7}$$

Divide 7 by 7 to get 1.

$$x=1$$