Here is your equation:
[tex]4x+10=-26[/tex]
With the variable is +10(positive 10). To find x, the variable must be alone. To take out +10, you have to do the opposite, which is subtract 10. Subtract 10 from both sides:
[tex]4x+10-10 = -26 - 10[/tex]
On the other side is -26 - 10. Since you're subtracting from a negative number, the sign will change from - to + and the number you're subtracting will change. If it's a positive number, it will become negative. If it's a negative number, it will become positive.
The number you're subtracting is +10. That means it will change from +10 to -10. Here is the old and new equation:
[tex]-26-10 \rightarrow -26+-10[/tex]
To add two negative numbers, you can just add the numbers as if they're positive, and after you get the sum, you can add the - sign.
[tex]26+10=36 \\ 36 \rightarrow -36[/tex]
Your current equation is:
[tex]4x=-36[/tex]
To leave x alone, you have to divide the number x is with. Since x is with 4, you have to divide both sides by 4.
[tex]\frac{4x}{4} = \frac{-36}{4}[/tex]
To find -36 divided by 4, just divide 36 by 4 and add the - sign.
Remember:
Now divide:
[tex]36 \div 4 = 9 \\ 9 \rightarrow -9[/tex]
That means x = -9
If you have any questions, feel free to ask in the comments! :)
