Question

Solve equation for 5(x - 3) + 2 = 5(2x - 8) - 3​

Answer 1

`\boxed {\sf x=6}`

Explanation:

`\sf 5(x - 3) + 2 = 5(2x - 8) - 3`

Use the Distributive property :

`\boxed { \sf Multiply\: 5\: by \:x\: and \:5\: by\: 3:}`

→
`\sf 5x-15+2`

→
`\sf -15+2`

`\sf =-13`

`\sf 5x-13`

______________________

`\sf 5\left(2x-8\right)-3`

`\boxed {\sf Multiply\: 5 \: by \: 2x \: and \: 5\: by\: -8:}`

→
`\sf 10x-40-3`

→
`\sf -40-3=-43`

`\sf 10x-43`

_______________

`\sf 5x-13=10x-43`

`\boxed {\sf Add\: 13 \:to\: both\: sides:}`

`\sf 5x-13+13=10x-43+13`

`\sf 5x=10x-30`

`\boxed{\sf Subtract\: -10x\: from\: both\: sides:}`

`\sf 5x-10x=10x-30-10x`

`\sf -5x=-30`

`\boxed{\sf Divide \:both \:sides\: by \:-5:}`

`\sf \cfrac{-5x}{-5}=\cfrac{-30}{-5}`

`\sf x=6`

___________________________

Answer 2

x = 6

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

1. Multiplication Property of Equality
2. Division Property of Equality
3. Addition Property of Equality
4. Subtraction Property of Equality

Algebra I

• Terms/Coefficients

Explanation:

Step 1: Define

Identify

5(x - 3) + 2 = 5(2x - 8) - 3

Step 2: Solve for x

1. (Parenthesis) Distribute: 5x - 15 + 2 = 10x - 40 - 3
2. Simplify [Order of Operations]: 5x - 13 = 10x - 43
3. [Subtraction Property of Equality] Subtract 10x on both sides: -5x - 13 = -43
4. [Addition Property of Equality] Add 13 on both sides: -5x = -30
5. [Division Property of Equality] Divide -5 on both sides: x = 6