Question

5x + 3 - 2x = 12 + 7x - 2 solution ??? SOMEONE HELPPP PLEASE !!

Answer 1

x = -7/4

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

Algebra I

• Terms/Coefficients

Explanation:

Step 1: Define

5x + 3 - 2x = 12 + 7x - 2

Step 2: Solve for x

1. Combine like terms: 3x + 3 = 7x + 10
2. [SPE] Subtract 3x on both sides: 3 = 4x + 10
3. [SPE] Subtract 10 on both sides: -7 = 4x
4. [DPE] Divide 4 on both sides: -7/4 = x
5. Rewrite: x = -7/4

Step 3: Check

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

1. Substitute in x: 5(-7/4) + 3 - 2(-7/4) = 12 + 7(-7/4) - 2
2. Multiply: -35/4 + 3 + 7/2 = 12 - 49/4 - 2
3. Add: -23/4 + 7/2 = 12 - 49/4 - 2
4. Add: -9/4 = 12 - 49/4 - 2
5. Subtract: -9/4 = -1/4 - 2
6. Subtract: -9/4 = -9/4

Here we see that -9/4 does indeed equal -9/4.

∴ x = -7/4 is the solution to the equation.