Question

what is the value of x? enter your answer in the box. x =

Explanation:

Step1: Set up the equation

Vertical - angles are equal. So, $2(x + 10)=3x - 30$.

Step2: Expand the left - hand side

Using the distributive property $a(b + c)=ab+ac$, we get $2x+20 = 3x - 30$.

Step3: Isolate the variable $x$

Subtract $2x$ from both sides: $2x+20-2x=3x - 30-2x$, which simplifies to $20=x - 30$.

Step4: Solve for $x$

Add 30 to both sides: $20 + 30=x-30 + 30$, so $x = 50$.

Answer:

$50$