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

x = 10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

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

Step 2: Solve for x

Combine like terms:                    20x - 20 = 180Isolate x term:                              20x = 200Isolate x:                                       x = 10

Step 3: Check

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

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

Here we see that 180 does indeed equal 180.

∴ x = 10 is the solution to the equation.