Solve for x

Question

: 10x+5=7x−16
.(1 point)

Answer 1

To solve the equation \(10x + 5 = 7x - 16\), follow these steps:

1. Subtract \(7x\) from both sides: \[ 10x - 7x + 5 = -16 \] This simplifies to: \[ 3x + 5 = -16 \]

2. Next, subtract 5 from both sides: \[ 3x = -16 - 5 \] This simplifies to: \[ 3x = -21 \]

3. Finally, divide both sides by 3: \[ x = \frac{-21}{3} \] This simplifies to: \[ x = -7 \]

Thus, the solution is: \[ \boxed{-7} \]