Question

What’s the answer to

250 = 4(1 - 7x)

Answer 1

x = -123/14

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

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtract Property of Equality

Explanation:

Step 1: Define

250 = 4(1 - 7x)

Step 2: Solve for x

1. Divide both sides by 4: 125/2 = 1 - 7x
2. Subtract 1 on both sides: 123/2 = -7x
3. Divide -7 on both sides: -123/14 = x
4. Rewrite: x = -123/14

Step 3: Check

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

1. Substitute in x: 250 = 4(1 - 7(-123/14))
2. (Parenthesis) Multiply: 250 = 4(1 + 123/2)
3. (Parenthesis) Add: 250 = 4(125/2)
4. Multiply: 250 = 250

Here we see that 250 does indeed equal 250.

∴ x = -123/14 is the solution to the equation.