Question

5-7(2-x)=31-4(2x-5) help pls

Answer 1

x = 4

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

5 - 7(2 - x) = 31 - 4(2x - 5)

Step 2: Solve for x

1. Distribute: 5 - 14 + 7x = 31 - 8x + 20
2. Subtract/Add: -9 + 7x = -8x + 51
3. Add 8x on both sides: -9 + 15x = 51
4. Add 9 to both sides: 15x = 60
5. Divide 15 on both sides: x = 4

Step 3: Check

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

1. Substitute in x: 5 - 7(2 - 4) = 31 - 4(2(4) - 5)
2. (Parenthesis) Multiply: 5 - 7(2 - 4) = 31 - 4(8 - 5)
3. (Parenthesis) Subtract: 5 - 7(-2) = 31 - 4(3)
4. Multiply: 5 + 14 = 31 - 12
5. Add/Subtract: 19 = 19

Here we see that 19 does indeed equal 19.

∴ x = 4 is the solution to the equation.