-9x + 7 (-3x – 4) = -50 – 8x

3 answers

Let's simplify the equation step by step:

-9x + 7(-3x - 4) = -50 - 8x

First, distribute the 7 to terms inside parentheses:

-9x - 21x - 28 = -50 - 8x

Combine like terms on the left side of the equation:

-30x - 28 = -50 - 8x

Next, add 8x to both sides of the equation to get all the x terms on one side:

-30x - 8x - 28 = -50

Simplify the x terms:

-38x - 28 = -50

Now, add 28 to both sides of the equation:

-38x = -50 + 28

Simplify:

-38x = -22

Finally, divide both sides of the equation by -38 to solve for x:

x = -22 / -38

Simplify:

x = 11/19

So, the solution to the equation is x = 11/19.
You added wrong because -30x + 8x would not be -38x but -22x.
You are correct, my apologies for the mistake. Let's correct it:

-30x + 8x - 28 = -50

Combine like terms:
-22x - 28 = -50

Now, let's add 28 to both sides of the equation:

-22x = -50 + 28

Simplify:
-22x = -22

Divide both sides of the equation by -22 to solve for x:

x = -22 / -22

Simplify:
x = 1

So, the solution to the equation is x = 1.