Question

What value of x makes the equation true
-(8x+3)=-23-3x

Answer 1

x = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Algebra I

• Terms/Coefficients
• Factoring

Explanation:

Step 1: Define

-(8x + 3) = -23 - 3x

Step 2: Solve for x

1. Factor GCF: -(8x + 3) = -(23 + 3x)
2. [Division Property of Equality] Divide -1 on both sides: 8x + 3 = 23 + 3x
3. [Subtraction Property of Equality] Subtract 3x on both sides: 5x + 3 = 23
4. [Subtraction Property of Equality] Subtract 3 on both sides: 5x = 20
5. [Division Property of Equality] Divide 5 on both sides: x = 4