Home > Algebra > Equations with Variables on Both Sides

How do you solve #-5x-14=2x+7#?

Answer 1

Julia Adams

#x = -3#

To solve this equation execute the following operations to keep the equation balanced while solving for #x#:

#-5x - 14 = 2x + 7#

#-5x + 5x - 14 = 2x + 5x + 7#

#-14 = 7x +7#

#-14 - -7 = 7x + 7 - 7#

#-21 = 7x#

#(1/7) 7x = (1/7) (-21)#

#x = -3#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Genesis Allen

To solve the equation -5x - 14 = 2x + 7, you first need to isolate the variable x by bringing all terms containing x to one side of the equation and constants to the other side. Then, combine like terms and solve for x.

Here are the steps:

Add 5x to both sides: -5x - 14 + 5x = 2x + 7 + 5x
Simplify: -14 = 7x + 7
Subtract 7 from both sides: -14 - 7 = 7x + 7 - 7
Simplify: -21 = 7x
Divide both sides by 7: -21 / 7 = 7x / 7
Simplify: -3 = x

Therefore, the solution to the equation is x = -3.

By signing up, you agree to our Terms of Service and Privacy Policy

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.