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24 votes
24 votes
4/5(-7x-1/2)=-2x-(4x-1)

User Petro Ivanenko
by
3.0k points

2 Answers

11 votes
11 votes

Answer:

x = 7/2

Explanation:

-28/5 x -2/5 = -2x -4x + 1

-28/5 x -2/5 = -6x + 1

-28 x -2 = -30x + 5

30 x -28 x = 5 + 2

2x = 7

2/2 x = 7/2

x = 7/2

User Lbear
by
3.0k points
26 votes
26 votes

Answer:

(7/2)

Explanation:

I'll rewrite "4/5(-7x-1/2)=-2x-(4x-1)" to (4/5)(-7x-1/2)=-2x-(4x-1) to clarify the fraction (I am not interpreting it as 4/(5(-7x-12))). [The five is not part of the denominator in my rewrite]

(4/5)(-7x-1/2)=-2x-(4x-1)

(-28x-2)= 5*((-6x+1)) [multiply the numerator by 4 on the left side, and multiply both sides by 5]

-28x-2= -30x + 5 [Combine like terms]

2x = 7 [Put like terms together by adding 30x and +2 to both sides]

x = (7/2) This satidfies the equation.

User Kyle Anderson
by
3.5k points