Mathematics, 25.06.2021 20:20 shawnball8571

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

Answers: 2

Show answers

Answers

Answer from: mikey8510

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.

Answer from: robert7248

x = 29/6

Step-by-step explanation:

solve for x.

8x - ( 2x - 13 ) = 42

distribute minus sign

8x - 2x + 13 = 42

combine like terms

6x + 13 = 42

subtract 13 from both sides

6x + 13 - 13 = 42 - 13

6x = 29

Divide each side by 6

6x / 6 = 29 / 6

x = 29 / 6

Check the equation :

8x - ( 2x - 13 ) = 42

substitute the value of x in equation

8 ( 29/6) - ( 2(29/6) - 13) = 42

reduce the number with the greatest common factor 2

4 × 29 /3 - ( (29/3) - 13) = 42

calculate the product

116/3 - ( 29/3 - 13 )= 42

calculate the difference

116/3 -( -10/3 )= 42

change the sign

116/3 + 10/3 = 42

add the fractions to get 42.

42 = 42

Hence, verified.

Answer from: Quest

Yeah she/ he needs look how long that is man

Answer from: Quest

yes

step-by-step explanation:

yes

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