## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

To see if $\frac{2+x}{8}$ and $\frac{1+x}{4}$ are equal, try to solve for an equation in which the two expressions are equal, as shown below. $(2+x)\div8=(1+x)\div4$ $((2+x)\div8)\times8=((1+x)\div4)\times8$ $2+x=2+2x$ $(2+x)-2=(2+2x)-2$ $x=2x$ As shown below, unless $x=0$, the two expressions are not equal. For the two to be equal, they have to be the same no matter the variable.