Question

Solve each equation. Check your solution.

$7-3r=r-4\left(2+r\right)$

Short answer

There is no solution for the given equation.

Step-by-step solution

Step 1. Write the given equation.

The given equation is “$7-3r=r-4\left(2+r\right)$”.

Step 2. Solve the given equation.

Solving,

$7-3r=r-4\left(2+r\right)$ (Given equation)

$7-3r=r-8-4r$ (Distributive property)

$7-3r=-8-3r$ (Simplify)

$7-3r+3r=-8-3r+3r$ (Add to both sides)

$7=-8$ (Simplify)

However, $7\ne -8$

This implies that there is no solution of the given equation.

Step 3. Check the obtained solution.

Since no solution can be obtained for the given equation, there is no need to verify the solution.