Solve {l}{g(x)=x+9text{thenfindandsimplify:}}{qquad(1text{mark})}{(1text{mark})}

$$\left. \begin{array} { l } { g ( x ) = x + 9 \text { then find and simplify: } } \\ { \qquad ( 1 \text { mark } ) } \\ { ( 1 \text { mark } ) } \end{array} \right.$$

Solve for x

$$x=\frac{9}{g-1}$$

$$g\neq 1$$

Steps for Solving Linear Equation

Subtract x from both sides.

$$gx-x=9$$

Combine all terms containing x.

$$\left(g-1\right)x=9$$

Divide both sides by g-1.

$$\frac{\left(g-1\right)x}{g-1}=\frac{9}{g-1}$$

Dividing by g-1 undoes the multiplication by g-1.

$$x=\frac{9}{g-1}$$