For what value of m is the equation true?

X^2-6x+5=m + (x-3) - 6

1. Simplify brackets

x^2-6x+5=m+x-3-6

2. Simplify m+x-3-6 to m+x-9

x^2-6x+5=m+x-9

3. Subtract x from both sides

x^2-6x+5-x=m-9

4. Simplify x^2-6x+5-x to x^2-7x+5

x^2-7x+5=m-9

5. Add 9 on both sides

x^2-7x+5+9=m

6. Simplify x^2-7x+5+9 to x^2-7x+14

x^2-7x+14=m

7. Switch sides

m=x^2-7x+14

You can always check by putting the new value of m into the equation (I already did that, so you don't have to)

1.2. Simplify brackets

x^2-6x+5=x^2-7x+14+3-3-6

2.2. Cancel x^2 on both sides

-6x+5=-7x+14-x-3-6

3.2. Simplify - 7x+14+x-3-6 to - 6x+14-3-6

-6x+5=-6x+14-3-6

4.2. Simplify - 6x+14-3-6 to - 6x+5

-6x+5=-6x+5

5.2 Since both sides are equal, the value for m is x^2-7x+14

Have a nice day : D