Answer :
Sure, let's solve each problem step by step:
5.) Solve the equation [tex]\(7 + x = 12\)[/tex].
To find the value of [tex]\(x\)[/tex], we need to isolate it on one side of the equation. Here’s how you do it:
- Start by subtracting 7 from both sides of the equation to get rid of the 7 on the left side.
[tex]\[ 7 + x - 7 = 12 - 7 \][/tex]
- Simplifying both sides, you get:
[tex]\[ x = 5 \][/tex]
So the solution for this equation is [tex]\(x = 5\)[/tex].
6.) Solve the equation [tex]\(x - 16 = -20\)[/tex].
Again, we need to isolate [tex]\(x\)[/tex]. Here's the process:
- Add 16 to both sides of the equation to cancel out the -16 on the left side.
[tex]\[ x - 16 + 16 = -20 + 16 \][/tex]
- Simplify both sides to find:
[tex]\[ x = -4 \][/tex]
Thus, the solution for this equation is [tex]\(x = -4\)[/tex].
In conclusion, the solutions are [tex]\(x = 5\)[/tex] for the first equation and [tex]\(x = -4\)[/tex] for the second equation.
5.) Solve the equation [tex]\(7 + x = 12\)[/tex].
To find the value of [tex]\(x\)[/tex], we need to isolate it on one side of the equation. Here’s how you do it:
- Start by subtracting 7 from both sides of the equation to get rid of the 7 on the left side.
[tex]\[ 7 + x - 7 = 12 - 7 \][/tex]
- Simplifying both sides, you get:
[tex]\[ x = 5 \][/tex]
So the solution for this equation is [tex]\(x = 5\)[/tex].
6.) Solve the equation [tex]\(x - 16 = -20\)[/tex].
Again, we need to isolate [tex]\(x\)[/tex]. Here's the process:
- Add 16 to both sides of the equation to cancel out the -16 on the left side.
[tex]\[ x - 16 + 16 = -20 + 16 \][/tex]
- Simplify both sides to find:
[tex]\[ x = -4 \][/tex]
Thus, the solution for this equation is [tex]\(x = -4\)[/tex].
In conclusion, the solutions are [tex]\(x = 5\)[/tex] for the first equation and [tex]\(x = -4\)[/tex] for the second equation.
