Question

Find the value of X

Answer 1

x = 12

The answer is C. 12.

Explanation:

The top side (2x+5) is part of a triangle. We see at the other sides of the triangle some marked lines. This indicates equal length. Now looking at the triangle with the (6x-14) side, we see that all side lengths have been doubled. We can use this relationship to start with a simple equation.

First, we start with this equation:

`2(2x+5)=6x-14`

Distribute the 2 on the left side:

`4x + 10 = 6x-14\\`

Subtract 4x from both sides:

`10 = 2x - 14\\`

Add 14 to both sides:

`24 = 2x\\`

Divide by 2:

`12 = x\\x = 12`

Therefore, the value of x is 12.