Question

What value of x makes the equation true?
3(4x-5)-4x+1=-6
Please show work

Answer 1

x = 1

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(4x - 5) - 4x + 1 = -6

Step 2: Solve for x

1. Distribute 3: 12x - 15 - 4x + 1 = -6
2. Combine like terms: 8x - 14 = -6
3. Isolate x term: 8x = 8
4. Isolate x: x = 1

Step 3: Check

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

1. Substitute in x: 3(4(1) - 5) - 4(1) + 1 = -6
2. Multiply: 3(4 - 5) - 4 + 1 = -6
3. Subtract: 3(-1) - 4 + 1 = -6
4. Multiply: -3 - 4 + 1 = -6
5. Subtract: -7 + 1 = -6
6. Add: -6 = -6

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

∴ x = 1 is the solution to the equation.