Questions: 10-2v=-5v-50

Solution Steps

To solve the equation \(10 - 2v = -5(v - 50)\), we need to follow these steps:

1. Distribute the \(-5\) on the right-hand side.
2. Combine like terms to isolate \(v\) on one side of the equation.
3. Solve for \(v\).

We are given the equation: \[ 10 - 2v = -5v - 50 \] Our goal is to solve for \( v \).

First, we need to get all the \( v \) terms on one side and the constant terms on the other side. Let's add \( 5v \) to both sides of the equation: \[ 10 - 2v + 5v = -5v + 5v - 50 \] This simplifies to: \[ 10 + 3v = -50 \]

Next, we need to isolate \( v \). Subtract 10 from both sides: \[ 10 + 3v - 10 = -50 - 10 \] This simplifies to: \[ 3v = -60 \]

Now, divide both sides by 3 to solve for \( v \): \[ v = \frac{-60}{3} \] \[ v = -20 \]

Final Answer