Final answer:
To find the value of x in the equation 7 - (-19) = 7 + x, you simplify the left side to 7 + 19, which equals 26. Subtract 7 from both sides of the new equation, leaving x = 19.
Step-by-step explanation:
The value of x in the equation 7 - (-19) = 7 + x can be found by first understanding the concept of adding a negative number. In mathematics, subtracting a negative number is the same as adding its positive counterpart. Therefore, 7 - (-19) simplifies to 7 + 19.
Now that we have simplified one side of the equation, it looks like this: 7 + 19 = 7 + x. To find the value of x, we solve for x by adding 7 and 19, which equals 26.
So, the equation now is 26 = 7 + x. To isolate x, we subtract 7 from both sides of the equation:
Therefore, the value of x in the original equation is 19.