7x-4-3x=2x+10

7x-4-3x=2x+10

4x - 4 = 2x + 10

2x = 14

x = 7

How did you get 4x

7x-3x = 4x

7x - 3x = 4x

I combined like terms.

Okay thank you!! the signs confused me

You're welcome. :-)

To solve this equation, we need to rearrange the terms and isolate the variable (x) on one side of the equation.

Let's start by combining like terms. On the left side of the equation, we have 7x and -3x. Adding these together gives us 4x.

So now our equation is: 4x - 4 = 2x + 10.

Next, we want to get rid of the constant terms (-4 and +10) by moving them to the opposite side of the equation.

To do this, we can add 4 to both sides of the equation: (4x - 4) + 4 = (2x + 10) + 4.

On the left side, -4 + 4 cancels out and we are left with 4x. On the right side, 10 + 4 gives us 14.

Our equation now becomes: 4x = 2x + 14.

Now, we want to isolate the variable (x) on one side of the equation. To do this, we need to get rid of the 2x term on the right side.

We can subtract 2x from both sides of the equation: 4x - 2x = 2x + 14 - 2x.

On the left side, 4x - 2x simplifies to 2x. On the right side, 2x - 2x cancels out and we are left with 14.

Our equation now becomes: 2x = 14.

Finally, to solve for x, we need to get x by itself. To do this, we divide both sides of the equation by 2: (2x)/2 = 14/2.

On the left side, 2x/2 simplifies to x. On the right side, 14/2 simplifies to 7.

Therefore, the solution to the equation 7x - 4 - 3x = 2x + 10 is x = 7.