Question

e County Public Schools Home - Student Portal Solving Linear Equations - Quiz - Level H Question 1 >> Solve the equation. 8(4- x) = 7x + 2 XE

Answer 1

Answer:

The solution to the equation is;

$x=2$

Explanation:

Given the equation;

$8(4-x)=7x+2$

To solve, let us expand the bracket and collect the like terms;

$\begin{gathered} 8(4-x)=7x+2 \\ 8(4)-8(x)=7x+2 \\ 32-8x=7x+2 \\ \text{collecting like terms;} \\ 32-2=7x+8x \\ 30=15x \\ \text{divide both sides by 15;} \\ x=\frac{30}{15} \\ x=2 \end{gathered}$

Therefore, the solution to the equation is;

$x=2$