HELP PLSS
Solve the equation 17−(3x+5)=3x−6

x = 3

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

17 - (3x + 5) = 3x - 6

Step 2: Solve for x

Distribute negative:                   17 - 3x - 5 = 3x - 6Add 3x on both sides:               17 - 5 = 6x - 6Combine like terms:                  12 = 6x - 6Isolate x term:                            18 = 6xIsolate x:                                     3 = xRewrite:                                      x = 3

Step 3: Check

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

Substitute in x:                    17 - (3(3) + 5) = 3(3) - 6Multiply:                               17 - (9 + 5) = 9 - 6Add:                                     17 - 14 = 9 - 6Subtract:                              3 = 3

Here we see that 3 does indeed equal 3.

∴ x = 3 is the solution to the equation.