Question

Using the following image, solve for x
X =

Answer 1

x - 3 + 7 = 2x - 1
x + 4 = 2x - 1
-x. -x
4 = x - 1
+1. +1
5 = x

Answer 2

x = 5

Explanation:

We know that the entire line segment BD is 2x - 1. Therefore, by summing up other sub line-segments BC and CD, it will equal to line segment BD. Thus, mathematically, we can write as BC + CD = BD.

`\displaystyle{x - 3 + 7 = 2x - 1}\\\\\displaystyle{x+4=2x-1}`

Subtract 4:

`\displaystyle{x+4-4=2x-1-4}\\\\\displaystyle{x=2x-5}`

Subtract 2x both sides:

`\displaystyle{x-2x=2x-5-2x}\\\\\displaystyle{-x=-5}`

Multiply -1 both sides to clear off the negative x:

`\displaystyle{x=5}`

Therefore, x = 5