Question

3x+5(2+x)=4x-7 help me out here?

Answer 1

x=
`(-17)/(4)`

Explanation:

Step 1: Simplify both sides of the equation.

3x+5(2+x)=4x−7

3x+(5)(2)+(5)(x)=4x+−7(Distribute)

3x+10+5x=4x+−7

(3x+5x)+(10)=4x−7(Combine Like Terms)

8x+10=4x−7

8x+10=4x−7

Step 2: Subtract 4x from both sides.

8x+10−4x=4x−7−4x

4x+10=−7

Step 3: Subtract 10 from both sides.

4x+10−10=−7−10

4x=−17

Step 4: Divide both sides by 4.

`(4x)/(4)`=
`(-17)/(4)`

x=
`(-17)/(4)`

Answer 2

x = -17/4

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

Distributive Property

Equality Properties

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

Algebra I

• Terms/Coefficients

Explanation:

Step 1: Define

Identify

3x + 5(2 + x) = 4x - 7

Step 2: Solve for x

1. [Distributive Property] Distribute 5: 3x + 10 + 5x = 4x - 7
2. [Addition] Combine like terms: 8x + 10 = 4x - 7
3. [Subtraction Property of Equality] Subtract 4x on both sides: 4x + 10 = -7
4. [Subtraction Property of Equality] Subtract 10 on both sides: 4x = -17
5. [Division Property of Equality] Divide 4 on both sides: x = -17/4