Question

(7x-1)+(13x-19)=180 solve for x

Answer 1

x = 10

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

(7x - 1) + (13x - 19) = 180

Step 2: Solve for x

1. Combine like terms: 20x - 20 = 180
2. Isolate x term: 20x = 200
3. Isolate x: x = 10

Step 3: Check

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

1. Substitute in x: (7(10) - 1) + (13(10) - 19) = 180
2. Multiply: (70 - 1) + (130 - 19) = 180
3. Subtract: 69 + 111 = 180
4. Add: 180 = 180

Here we see that 180 does indeed equal 180.

∴ x = 10 is the solution to the equation.