68.7k views
5 votes
-2(x+7)= x-34+2x i need the steps

User Obaskly
by
7.7k points

1 Answer

2 votes

♡ The Question ♡

・-2 (x + 7) = x -34 + 2x

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

* ♡ The Answer ♡

・x = 4

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Explanation/Step-By-Step ♡

・-2 (x + 7) = x -34 + 2x

-2 (x + 7) = x + 2x - 34

-2 (x + 7) = 3x - 34

-2 (x + 7) : -2x - 14

-2 (x + 7)

Apply the distributive law! : a(b + c) = ab + ac

a = -2, b = x, c = 7

= -2 + (-2) x 7

Apply minus (-) plus rules!

+ (-a) = -a

= -2x - 2 x 7

Multiply the numbers! : 2 x 7 = 14

= -2x - 14

-2x - 14 = 3x - 34

Add 14 to both sides!

-2x - 14 + 14 = 3x - 34 + 14

Simplify!

-2x = 3x - 20

Subtract 3x from both sides!

-2x - 3x = 3x - 30 - 3x

Simplify!

-5x = -20

Divide both sides by -5!

-5x/-5 = -20/-5

Simplify! : -5x/-5 : x

Apply the fraction rule! : -a/-b = a/b

= 5x/5

Divide the numbers! : 5/5 = 1

= x

Simplify! : -20/-5 : 4

-20/-5

Apply the fraction rule! : -a/-b = a/b

= 20/5

Divide the numbers! 20/5 = 4

= 4

x = 4

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

*♡ Tips ♡

・No tips provided!

User Srihari Karanth
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories