Question

Solve:$3x-5=-x+1$

Short answer

The solution of this equation is$x=\frac{3}{2}$

Step-by-step solution

Step 1. Given Information

In the given question we have to solve:$3x-5=-x+1$

Step 2. Now solving the equation.

$3x-5=-x+1$

Add $x$on both side

$$\begin{gathered} 3x-5+x=-x+1+x \\ 4x-5=1 \end{gathered}$$

Add 5 on both side

$$\begin{gathered} 4x-5+5=1+5 \\ 4x=6 \end{gathered}$$

Divide by 4 on both side

$$\begin{gathered} \frac{4}{4}x=\frac{6}{4} \\ x=\frac{3}{2} \end{gathered}$$