Home > Algebra > Multi-Step Equations with Like Terms

How do you solve #19= 4( x - 2) - ( x - 6)#?

Answer 1

Hazel Anglin

#x=7#

We can distribute the #4# and the #-1# to their respective terms on the right side. We now have

#4x-8-x+6=19#

We can now combine like terms to get

#3x-2=19#

Next, we can add #2# to both sides to get

#3x=21#

Lastly, dividing both sides by #3#, we get

#x=7#

Hope this helps!

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

Answer 2

Jameson Allen

To solve the equation 19 = 4(x - 2) - (x - 6), first distribute the terms inside the parentheses: 4(x - 2) = 4x - 8 (x - 6) = x - 6

Now, substitute these expressions back into the original equation: 19 = 4x - 8 - (x - 6)

Next, distribute the negative sign to both terms inside the parentheses: 19 = 4x - 8 - x + 6

Combine like terms: 19 = 3x - 2

Now, add 2 to both sides to isolate the term with x: 19 + 2 = 3x 21 = 3x

Finally, divide both sides by 3 to solve for x: x = 7

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.