4(x-6)+6=6(x+2)-10
4(x-6)+6=6(x+2)-10
4x - 24 = 6x + 12 - 10
-24 + (-2) = 2x
-26 = 2x
-13 = x
I think Ms Sue dropped a six on the left side.
4x-24+6=6x+12-10
subtract 4x from each side
-18=2x+2
subtract two from each side
-20=2x
x=-10
Oops! Thanks, Bob!
To solve the equation 4(x-6)+6=6(x+2)-10, we need to simplify both sides of the equation and then solve for the variable x.
Let's begin by simplifying the left side of the equation. We will use the distributive property to multiply each term inside the parentheses.
First, we multiply 4 by x: 4(x-6) becomes 4x - 24.
Now, let's simplify the right side of the equation. Again, we will use the distributive property to multiply each term inside the parentheses.
First, we multiply 6 by x: 6(x+2) becomes 6x + 12.
So the equation becomes: 4x - 24 + 6 = 6x + 12 - 10.
Next, we need to simplify both sides by combining like terms.
On the left side: 4x - 24 + 6 simplifies to 4x - 18.
On the right side: 6x + 12 - 10 simplifies to 6x + 2.
Now, the equation becomes: 4x - 18 = 6x + 2.
To isolate the variable x, we need to get all the x terms on one side of the equation.
Subtract 6x from both sides: 4x - 6x - 18 = 6x - 6x + 2.
This simplifies to: -2x - 18 = 2.
To isolate the x term further, we need to get rid of the constant term on the left side.
Add 18 to both sides: -2x - 18 + 18 = 2 + 18.
This simplifies to: -2x = 20.
Finally, to solve for x, divide both sides of the equation by -2:
(-2x)/-2 = 20/-2.
This gives us: x = -10.
Therefore, the solution to the equation 4(x-6)+6=6(x+2)-10 is x = -10.