Answer: x = -5.
To solve this equation, I first would like to warn you about the long answer I am about to post for you. I'll be putting in very detailed steps for you, showing you how to simplify and distribute numbers, etc. :)
Let us solve your equation step-by-step.
Step 1) Simplify both sides of the equation.
To simplify this, we will...
4 + (-2) (x) + (-2) (7) = (3) (x) + (3) (5)
4 + - 2x + - 14 = 3x + 15
(-2x) + (4 + - 14) = 3x + 15
Now, we combine Like Terms...
-2x + - 10 = 3x + 15
-2x - 10 = 3x + 15
Step 2) Subtract 3x from both sides.
- 2x - 10 - 3x = 3x + 15 - 3x
- 5x - 10 = 15
Step 3) Add 10 to both sides.
- 5x - 10 + 10 = 15 + 10
- 5x = 25
Step 4) Divide both sides by -5.
-5x/-5 = 25/-5
So, our final answer is x = -5.
Hope this helps!