Question

5a(x+2) - 10a = 3(ax+6)

Answer 1

5a(x+2)-10a=3(ax+6)

5ax+10a-10a=5ax

3(ax+6) 3ax+28 5ax=3ax+18

5ax-3ax=3ax-3ax+18

2ax+18

(2ax)/(2a)=18/(2a)

x=9/a

5a(x+2)-10a=3(ax+6)=x=9/a

Explanation:

Let's start with the left side of the equation:

5a(x+2)-10a

We can distribute the 5a both terms inside the parentheses: 5ax+10a-10a

The 10a terms cancel each other out,leaving us

with:5ax

Now let's simplify the right side of the equation:

3(ax+6)

Now that we simplified both sides, our equation becomes:

5ax=3ax+18

To solve for x,we want to isolate the x term on one side of the equation. To do that we can subtract 3ax from both sides: 5ax-3ax+18

Simplifying further:

2ax+18

Now we can divide both sides of the equation by 2a to solve for x: (2ax)/(2a)=18/(2a)=x=9/a

So the answer to the equation 5a(x+2)-10a=3(ax+6) is x=9/a