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

User Obaskly
by
5.1k 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
5.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.