High School

Question 7 of 10

What is the solution to this equation?

[tex] x - 8 = 15 [/tex]

A. [tex] x = 13 [/tex]

B. [tex] x = 7 [/tex]

C. [tex] x = 17 [/tex]

D. [tex] x = 23 [/tex]

Answer :

Sure! Let's solve the given equation step-by-step:

The equation to solve is:
[tex]\[ x - 8 = 15 \][/tex]

The goal is to find the value of [tex]\( x \)[/tex].

Step 1: Begin by isolating [tex]\( x \)[/tex] on one side of the equation.
- To do this, add 8 to both sides of the equation to "cancel out" the [tex]\(-8\)[/tex] on the left side:
[tex]\[ x - 8 + 8 = 15 + 8 \][/tex]

Step 2: Simplify both sides of the equation.
- On the left side, [tex]\(-8 + 8\)[/tex] equals 0, so you are left with just [tex]\( x \)[/tex]:
[tex]\[ x = 15 + 8 \][/tex]

- On the right side, [tex]\(15 + 8\)[/tex] equals 23:
[tex]\[ x = 23 \][/tex]

So, the solution to the equation [tex]\( x - 8 = 15 \)[/tex] is:
[tex]\[ x = 23 \][/tex]

Therefore, the correct answer is:
C. [tex]\( x = 23 \)[/tex]