To solve the equation \(-2x + 9 - 3x = 16\), we can follow these steps: 1. Combine like terms on the left side: \[ -2x - 3x + 9 = 16 \] This simplifies to: \[ -5x + 9 = 16 \] 2. Subtract 9 from both sides to isolate the term with \(x\): \[ -5x = 16 - 9 \] This simplifies to: \[ -5x = 7 \] 3. Divide both sides by -5 to solve for \(x\): \[ x = \frac{7}{-5} \] This simplifies to: \[ x = -\frac{7}{5} \] Thus, the solution is: \[ x = -\frac{7}{5} \]

-2x+9-3x=16

1 answer

To solve the equation \(-2x + 9 - 3x = 16\), we can follow these steps:

Combine like terms on the left side: \[ -2x - 3x + 9 = 16 \] This simplifies to: \[ -5x + 9 = 16 \]
Subtract 9 from both sides to isolate the term with \(x\): \[ -5x = 16 - 9 \] This simplifies to: \[ -5x = 7 \]
Divide both sides by -5 to solve for \(x\): \[ x = \frac{7}{-5} \] This simplifies to: \[ x = -\frac{7}{5} \]

Thus, the solution is: \[ x = -\frac{7}{5} \]