Question

Solve for x
4x-16 2x+16

Answer 1

`\bold{ANSWER:}`
x = 30


`\bold{EXPLANATIONS:}`

Answer 2

The value of x is equal to 30.

Explanation:

Let's define what are 2 equations are:

Since we are dealing with a straight line, the line's angle will always equal 180°.

Since the 2 angles must add up to 180°, then they must be supplementary angles.

We can set up our equation to solve for x:

• 4x - 16 + 2x + 16 = 180

This equation states that the 2 angles, given in formulas, must be equal to the angle of the line.

We can now solve this equation and get a value of x:

1. Define:
   4x - 16 + 2x + 16 = 180
2. Combine like terms:
   6x = 180
3. Divide 6 on both sides [Division Equality Property]:
   x = 30

∴ we have found the value of x to be equal to 30.

Hope this helps!