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How do you solve #-3x+1= 5x-7#?

Answer 1

Eli Assouline

#color(blue)(x= 1#

#-3x+1= 5x-7# #-3x - 5x= -7-1# #-8x= -8# #color(blue)(x= 1#

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Answer 2

Ethan Adkins

To solve the equation -3x + 1 = 5x - 7, you need to isolate the variable x on one side of the equation. Start by combining like terms:

-3x + 1 = 5x - 7 Add 3x to both sides: 1 = 8x - 7 Add 7 to both sides: 8 = 8x Divide both sides by 8: x = 1

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Answer 3

Hazel Anglin

To solve the equation (-3x + 1 = 5x - 7), follow these steps:

Add (3x) to both sides of the equation to move all (x) terms to one side: (-3x + 3x + 1 = 5x - 7 + 3x) (1 = 8x - 7)
Add (7) to both sides of the equation to isolate the term containing (x): (1 + 7 = 8x - 7 + 7) (8 = 8x)
Divide both sides by (8) to solve for (x): (\frac{8}{8} = \frac{8x}{8}) (1 = x)

So, the solution to the equation is (x = 1).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.