Question

Find the value of the variable.

$8x+2x=90$

Short answer

The value of the variable is $\mathit{x}\mathbf{=}\mathbf{9}$.

Step-by-step solution

Step 1. Combine the like terms.

To simplify combine the like terms 8x and 2x.

$\begin{array}{l}8x+2x=90\\ 10x=90\end{array}$

Step 2. Divide by 10.

To find the value of variable x in the equation $10x=90$, divide both sides of the equation by 10.

$\frac{10x}{10}=\frac{90}{10}$

Step 3. Simplify the equation.

To further simplify, cancel the common factors of 10 on both sides.

$\begin{array}{l}\frac{10x}{10}=\frac{10\times 9}{10}\\ x=9\end{array}$

Step 4. Verify the value.

In order to verify the value of x, substitute 9 for x into the equation $8x+2x=90$.

$\begin{array}{l}8\times 9+2\times 9=90\\ 72+18=90\\ 90=90\text{True}\end{array}$

Hence, the value of the variable is $x=9$.