Chapter 8.2, Problem 4AGP

To determine

To solve: The equation $2x\left(x+4\right)+7=\left(x+8\right)+2x\left(x+1\right)+12$

Answer to Problem 4AGP

  $x=\frac{13}{5}$

Explanation of Solution

Given:

  $2x\left(x+4\right)+7=\left(x+8\right)+2x\left(x+1\right)+12$

Calculation:

The given equation is $2x\left(x+4\right)+7=\left(x+8\right)+2x\left(x+1\right)+12$

Distribute $2x$ over the parenthesis

  $2x^2+8x+7=x+8+2x^2+2x+12$

Simplify the equation

  $\begin{array}{c}8x+7=3x+20\\ 5x=13\\ x=\frac{13}{5}\end{array}$