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

The solution to the equation is;

`x=2`

Step-by-step 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=(30)/(15) \\ x=2 \end{gathered}`

Therefore, the solution to the equation is;

`x=2`