8x - (2x - 13) = 42
solve and check the equation​

x = 29/6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

8x - (2x - 13) = 42

Step 2: Solve for x

[Distributive Property] Distribute negative:                                                     8x - 2x + 13 = 42[Subtraction] Combine like terms:                                                                    6x + 13 = 42[Subtraction Property of Equality] Subtract 13 on both sides:                        6x = 29[Division Property of Equality] Divide 6 on both sides:                                 x = 29/6

Step 3: Check

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

Substitute in x:                                                                                                  8(29/6) - [2(29/6) - 13] = 42Multiply:                                                                                                             116/3 - [29/3 - 13] = 42[Brackets] Subtract:                                                                                           116/3 - -10/3 = 42Subtract:                                                                                                            42 = 42

Here we see 42 does indeed equal 42.

∴ x = 29/6 is the solution.

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