3(x+4)= x-8-2x i need the steps

3x+12=-x-8

4x+12=-8

4x=-20

x=-5

♡ The Question ♡      

・3 (x + 4) = x - 8 - 2x

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*  

* ♡ The Answer ♡      

・x = -5

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*      

♡ The Explanation/Step-By-Step ♡      

・3 (x + 4) = x - 8 - 2x

3 (x + 4) = x - 2x - 8

3 (x + 4) = -x - 8

3 (x + 4): 3x + 12

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

a = 3, b = x, c = 4

= 3x + 3 x 4

Multiply: 3 x 4 = 12

= 3x + 12

3x + 12 = -x - 8

Subtract 12 from both sides!

3x + 12 - 12 = -x - 8 - 12

Simplify!

3x = -x - 20

Add x to both sides!

3x + x = -x - 20 + x

Simplify!

4x/4 = -20/4

Simplify 4x/4 : x

Divide the numbers!

4/4 = 1 = x

Simplify!

-20/4 : -5

-20/4

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

= -20/4

Divide the numbers!

20/4 = 5

= -5

x = -5

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*      

*♡ Tips ♡      

・No tips provided!

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt