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How do you solve #6x+7=8x-13#?

Answer 1

Hazel Anglin

#x=10#

#6x+7=8x-13# #13+7=8x-6x# #20=2x# #10=x# #x=10#

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Answer 2

Ethan Adkins

To solve the equation 6x + 7 = 8x - 13, you need to isolate the variable x on one side of the equation. Here are the steps:

Subtract 6x from both sides to move all terms involving x to one side of the equation: 6x + 7 - 6x = 8x - 13 - 6x 7 = 2x - 13
Add 13 to both sides to move the constant term to the other side of the equation: 7 + 13 = 2x - 13 + 13 20 = 2x
Divide both sides by 2 to solve for x: 20 / 2 = 2x / 2 10 = x

So, the solution to the equation is x = 10.

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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.