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

2 Answers

3 votes

♡ The Question ♡

・3 (x + 4) = x - 8 - 2x

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* ♡ The Answer ♡

・x = -5

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♡ 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

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*♡ Tips ♡

・No tips provided!

User Sajjad
by
5.3k points
4 votes

Answer:

3x+12=-x-8

4x+12=-8

4x=-20

x=-5

User CorrieJanse
by
5.2k points