Question

I want to know how to solve multi step equation

Answer 1

When solving multi-step equation you should start by combining like terms.

4x + 10 = 7x + 16

With this equation you can subtract 4x from each side. -4x = -4x

10 = 3x + 16

Then you can combine 16 and 10 by subtracting 16 from each side. -16 = -16

-6 = 3x

After that you try and isolate the variable. You can do this by dividing both sides by 3 which also isolates the variable. *1/3 = *1/3

-2 = x

So the final answer would be x = -2

Answer 2

We are given:

$4x+10=7x+16$

Our goal in solving for any variable, in this case is x, we need to isolate x on one side of the variable. Let's start by subtracting 7x from both sides, which will cancel the +7x on the right side. We are then left with:

$-3x+10=16$

Now, we want to move that +10 to the other side so our x is all by itself. Let's subtract 10 from both sides, which will cancel the +10 on the right leaving us with:

$-3x=6$

Since we cannot have a coefficient when solving for x, we need to divide both sides by -3.

$\frac{-3x}{-3}={\frac{6}{-3}$

When we divide, our answer is:

$x=-2$