Question

Solve each equation. Check your solution.

$-5x-4.8=6.7$

Short answer

The solution of the given equation is $x=-2.3$.

Step-by-step solution

Step 1. Write the given equation.

The given equation is “$-5x-4.8=6.7$”.

Step 2. Solve the given equation.

Solving,

$-5x-4.8=6.7$ (Given equation)

$-5x-4.8+4.8=6.7+4.8$ (Add 4.8 to both sides)

$-5x=11.5$ (Simplify)

$\frac{-5x}{-5}=\frac{11.5}{-5}$ (Divide both sides by $-5$)

$x=-2.3$ (Simplify)

So, $x=-2.3$is the solution of the given equation.

Step 3. Check the obtained solution.

Put $x=-2.3$in the given equation $-5x-4.8=6.7$to get,

$\begin{array}{l}-5\left(-2.3\right)-4.8=6.7\\ 11.5-4.8=6.7\\ 6.7=6.7\end{array}$

Since the value obtained on the left-hand side and right-hand side are equal, the obtained value is indeed a solution of the given equation.