Question

HELP PLSS
Solve the equation 17−(3x+5)=3x−6

Answer 1

x = 3

Explanation:

17 - 1(3x + 5) = 3x - 6

17 − 3 − 5 = 3x − 6

12 - 3x = 3x - 6 subtract five

-3x + 12 = 3x - 6 rearrange terms

-3x = 3x - 18 subtract twelve

-6x = 18 subtract negative three

divide by negative six

x = 3

Answer 2

x = 3

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

Explanation:

Step 1: Define Equation

17 - (3x + 5) = 3x - 6

Step 2: Solve for x

1. Distribute negative: 17 - 3x - 5 = 3x - 6
2. Add 3x on both sides: 17 - 5 = 6x - 6
3. Combine like terms: 12 = 6x - 6
4. Isolate x term: 18 = 6x
5. Isolate x: 3 = x
6. Rewrite: x = 3

Step 3: Check

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

1. Substitute in x: 17 - (3(3) + 5) = 3(3) - 6
2. Multiply: 17 - (9 + 5) = 9 - 6
3. Add: 17 - 14 = 9 - 6
4. Subtract: 3 = 3

Here we see that 3 does indeed equal 3.

∴ x = 3 is the solution to the equation.