Question

3(x+1)-2x=-6
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Answer 1

x = -9

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

3(x + 1) - 2x = -6

Step 2: Solve for x

1. Distribute 3: 3x + 3 - 2x = -6
2. Combine like terms: x + 3 = -6
3. Isolate x: x = -9

Step 3: Check

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

1. Substitute in x: 3(-9 + 1) - 2(-9) = -6
2. Add: 3(-8) - 2(-9) = -6
3. Multiply: -24 + 18 = -6
4. Add: -6 = -6

Here we see that -6 does indeed equal -6.

∴ x = -9 is the solution to the equation.