Question

Give the reason for the steps used in solving the equation 3(x - 4) + 5 = 2x - 2(3 - x) what are the names of each steps

Answer 1

Given:

The equation 3(x - 4) + 5 = 2x - 2(3 - x).

Required:

Give the reason for each step of the solution.

Explanation:

Step 1: Simplify both sides of the equation.

$\begin{gathered} 3(x-4)+5=2x-2(3-x) \\ \text{ Dsitribute the equation} \\ 3x-12+5=2x-6+2x \\ \text{ Combine like terms} \\ 3x-7=4x-6 \end{gathered}$

Step 2: Subtract 4x from both sides

$\begin{gathered} 3x-7-4x=4x-6-4x \\ -x-7=-6 \end{gathered}$

Step 3: Add 7 to both sides.

$\begin{gathered} -x-7+7=-6+7 \\ -x=1 \end{gathered}$

Step 4: Divide both sides by -1.

$\begin{gathered} \frac{-x}{-1}=\frac{1}{-1} \\ x=-1 \end{gathered}$

Answer:

Value of x = -1