Q:

how many solutions are in the equation -(4x+7)= - 2+4x

Accepted Solution

A:
Hey there! :) 

-(4x + 7) = -2 + 4x

We're trying to solve for "x," so let's first simplify this equation.

**Remember : a negative times a positive is a negative!**

-4x - 28 = -2 + 4x

Now, we need to get "x" onto its own side of the equal sign.

So, let's add 28 to both sides.

-4x - 28 (+28) = -2 + 4x (+28)

Simplify.

-4x = 4x + (28 - 2)

Then, subtract 4x from both sides.

-4x - 4x = (28 - 2)

Simplify!

-8x = 26

Divide both sides by -8.

-8x ÷ -8 = 28 ÷ -8

Simplify.

x = -28/8

Simplify.

x = -14/4

Simplify again.

x = -7/2

So, because x has a solution, this particular equation only has 1 solution! 

~Hope I helped~