Question

Explain steps to solve -7 (x-2)-6=-3x

Answer 1

To solve -7(x - 2) -6 = -3x

We need to remember PEMDAS and the properties of equality

First we get rid of the parenthesis by distributing -7 throughout

(distributive property of equality)

-7 x X = -7x
-7 x - 2 = 14

Now we have -7x + 14 - 6 = -3x

Now we need to combine like terms, or simplify the expression

14 - 6 = 8

Now we have -7x + 8 = -3x

Now we can subtract 8 from both sides to get the variables on one side

-7x - 8 + 8 = -3x - 8
-7x = -3x - 8

And again, but this time adding 3x to each side

-7x + 3x = -8
-4x = -8

Now we divide -8 by -4 to find x

-8/-4 = 2

Answer: -2

Simplified work:
-7(x - 2) -6 = -3x
-7x + 14 - 6 = -3x
-7x + 8 = -3x
-7x = -3x - 8
-4x = -8
x = 2

I hope this helps!

Answer 2

-7(x - 2) - 6 = -3x

Simplify.

-7x + 14 - 6 = -3x

Add like terms.

-7x + (14 - 6) = -3x

Simplify.

-7x + 8 = -3x

We're simply just trying to get "x" onto its own side of the equal sign.

So, subtract 8 from both sides.

-7x = -3x - 8

Then, add 3x to both sides.

-7x + 3x = -8

Simplify.

-4x = -8

Finally, divide both sides by -4.

-4x ÷ -4 = -8 ÷ -4

Simplify.

x = 2

To check your work, simply plug in "2" for "x" in our original equation :

-7(x - 2) - 6 = -3x

Plug in 2 for x.

-7[(2) - 2] - 6 = -3(2)

Simplify.

-7(0) - 6 = -6

Simplify.

0 - 6 = -6

Simplify.

-6 = -6

Therefore, x = 2

~Hope I helped!~

:)