x=-2
Step-by-step explanation: First, you would distribute 8 through the first set of parenthesis. You are basically just multiplying 8 and 4. After doing this, you get an equation of 8x+32+2x=-3(2+3x)
Secondly, (this step goes in hand with step 1) you would distribute -3 through the second set of parenthesis. Now, you have an equation of 8x + 32 + 2x = -6 -9x.
Thirdly, you would collect like terms. All your doing in this step is adding 8 and 2. You now have an equation of 10x + 32 = -6 - 9x.
Fourth, you are going to the variable of 9x to the left-hand side and change it from being negative to being positive.
Fifth, (this one goes in hand with step 4) you will move the constant which is 32 to the right-hand side and change it from a positive to a negative. Now, your new equation is 10x + 9x = -6 - 32
Sixth, you will collect like terms. Your going to add 9 and 10. You now have an equation of 19x = -6 - 32
Seventh, (going in hand with 6) you are going to collect like terms. Your just going to subtract -6 from -32. Your new equation looks like this: 19x = -38.
Lastly, you are going to divide both sides of the equation by 19. 19/19 cancels out, and your left with x=-2, which is your answer.
Hope this helps!
