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

Transcript text: 10-2v=-5 v-50

Solution

Solution Steps

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

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

Step 1: Understand the Problem

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

Step 2: Combine Like Terms

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: \[ 10 + 3v = -50 \]

Step 3: Isolate the Variable

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

Step 4: Solve for \( v \)

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

Final Answer

The solution to the equation is: \[ \boxed{v = -20} \]

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