Question

Question 2 (5 points)

(02.01 LC)
2x - 10
Solve:
= Bx (5 points)
-10
Ob
-1
Ос
2
Od
11

Answer 1

B. -1

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Explanation:

Step 1: Define

`(2x-10)/(4) =3x`

Step 2: Solve for x

1. Multiply 4 on both sides:
   `2x-10=12x`
2. Subtract 2x on both sides:
   `-10=10x`
3. Divide 10 on both sides:
   `-1=x`
4. Rewrite:
   `x=-1`

Step 3: Check

Plug in x into the original equation to verify it's a solution.

1. Substitute in x:
   `(2(-1)-10)/(4) =3(-1)`
2. Multiply:
   `(-2-10)/(4) =-3`
3. Subtract:
   `(-12)/(4) =-3`
4. Divide:
   `-3 =-3`

Here we see that -3 does indeed equal -3.

∴ x = -1 is a solution of the equation.