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-8x -3(2x+1)=67 Find the value of X

User Rwold
by
8.4k points

2 Answers

3 votes

Answer:

x=-5

Explanation:

-8x-6x-3=67

-14x=70

x=-5

User JastinBall
by
7.9k points
4 votes

Answer:

x = -5

Explanation:

Solve for x:

-8 x - 3 (2 x + 1) = 67

-3 (2 x + 1) = -6 x - 3:

-6 x - 3 - 8 x = 67

Grouping like terms, -6 x - 8 x - 3 = (-8 x - 6 x) - 3:

(-8 x - 6 x) - 3 = 67

-8 x - 6 x = -14 x:

-14 x - 3 = 67

Add 3 to both sides:

(3 - 3) - 14 x = 3 + 67

3 - 3 = 0:

-14 x = 67 + 3

67 + 3 = 70:

-14 x = 70

Divide both sides of -14 x = 70 by -14:

(-14 x)/(-14) = 70/(-14)

(-14)/(-14) = 1:

x = 70/(-14)

The gcd of 70 and -14 is 14, so 70/(-14) = (14×5)/(14 (-1)) = 14/14×5/(-1) = 5/(-1):

x = 5/(-1)

Multiply numerator and denominator of 5/(-1) by -1:

Answer: x = -5

User Yqlim
by
9.1k points

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