To solve the equation \(9 - 5x = 1 - x\), we start by isolating the variable \(x\). 1. First, we can add \(5x\) to both sides of the equation: \[ 9 = 1 - x + 5x \] This simplifies to: \[ 9 = 1 + 4x \] 2. Next, we subtract 1 from both sides: \[ 9 - 1 = 4x \] Thus, we have: \[ 8 = 4x \] 3. Finally, we divide both sides by 4 to solve for \(x\): \[ x = \frac{8}{4} = 2 \] So, the solution is \(x = 2\).

9 - 5x = 1 - x

1 answer

To solve the equation \(9 - 5x = 1 - x\), we start by isolating the variable \(x\).

First, we can add \(5x\) to both sides of the equation: \[ 9 = 1 - x + 5x \] This simplifies to: \[ 9 = 1 + 4x \]
Next, we subtract 1 from both sides: \[ 9 - 1 = 4x \] Thus, we have: \[ 8 = 4x \]
Finally, we divide both sides by 4 to solve for \(x\): \[ x = \frac{8}{4} = 2 \]

So, the solution is \(x = 2\).