Question

Use the distributive property to solve the equation. 5x-3(x-3) =-6+6x-5

Answer 1

Hello,

So we have the equation: 5x-3(x-3) =-6+6x-5,
with the Distributive Property, we distribute the number next to the parentheses into what's in the parentheses. 

For the left side, you need to distribute "-3" to (x-3), and if you do that, the answer simplified for the left side is: 5x + -3x + 9 = -6 + 6x - 5

From there, add "5x" and "-3x" together since they are like terms:
2x  + 9 = -6 + 6x - 5

Now, we want to get "6x" from the right side to combine with "2x" since they are like terms, so we will then subtract "6x" to both sides: -4x +9 = -6 - 5, and we can simplify "-6 - 5" to "-11" which then becomes -4x + 9 = -11

Moving on, we want "9" from the left side to combine with -12 since they are like terms, so we will subtract "9" to both sides:  -4x = -20

To finish it off, divide both sides by "-4" since we want "x" by itself:

x = 5

Hope this helps!

May