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18 votes
–5x – 10 = 2 – (x + 4)
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Thanks!

User Hussain Ali Akbar
by
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2 Answers

15 votes
15 votes

Answer:

Explanation:

Distribute:

-5x - 10 = 2 - (x + 4)

-5x-10=2-x-4

x = -2

User Dani Mathew
by
2.6k points
16 votes
16 votes

Answer:

x = -2

Explanation:

Solve for x:

-5 x - 10 = -(x + 4) + 2

-(x + 4) = -x - 4:

-5 x - 10 = (-x - 4) + 2

Grouping like terms, -x - 4 + 2 = -x + (2 - 4):

-5 x - 10 = (-x + (2 - 4))

2 - 4 = -2:

-5 x - 10 = -x + -2

Add x to both sides:

x - 5 x - 10 = (x - x) - 2

x - x = 0:

x - 5 x - 10 = -2

Grouping like terms, x - 5 x - 10 = (-5 x + x) - 10:

((-5 x + x) - 10) = -2

x - 5 x = -4 x:

-4 x - 10 = -2

Add 10 to both sides:

(10 - 10) - 4 x = 10 - 2

10 - 10 = 0:

-4 x = 10 - 2

10 - 2 = 8:

-4 x = 8

Divide both sides of -4 x = 8 by -4:

(-4 x)/(-4) = 8/(-4)

(-4)/(-4) = 1:

x = 8/(-4)

The gcd of 8 and -4 is 4, so 8/(-4) = (4×2)/(4 (-1)) = 4/4×2/(-1) = 2/(-1):

x = 2/(-1)

Multiply numerator and denominator of 2/(-1) by -1:

Answer: x = -2

User JSF
by
3.0k points