Questions: -3x+1=5x-7

Transcript text: 3. $-3 x+1=5 x-7$

Solution

Solution Steps

To solve the equation $-3x + 1 = 5x - 7$, we need to isolate the variable $x$. This involves moving all terms containing $x$ to one side of the equation and the constant terms to the other side. Then, we can solve for $x$.

Step 1: Rearranging the Equation

We start with the equation: \[ -3x + 1 = 5x - 7 \] To isolate $x$, we first move all terms involving $x$ to one side and constant terms to the other side. This gives us: \[ 1 + 7 = 5x + 3x \]

Step 2: Simplifying the Equation

Now, we simplify both sides: \[ 8 = 8x \]

Step 3: Solving for $x$

Next, we divide both sides by 8 to solve for $x$: \[ x = 1 \]