Here are the solutions to the equations you provided:
-
\(19 + x = 3\)
Subtract 19 from both sides:
\(x = 3 - 19\)
\(x = -16\) -
\(x - 12 = -13\)
Add 12 to both sides:
\(x = -13 + 12\)
\(x = -1\) -
\(-7x = -84\)
Divide both sides by -7:
\(x = \frac{-84}{-7}\)
\(x = 12\) -
\(\frac{x}{5} = 20\)
Multiply both sides by 5:
\(x = 20 \times 5\)
\(x = 100\) -
\(9 + x = -45\)
Subtract 9 from both sides:
\(x = -45 - 9\)
\(x = -54\) -
\(-12 + x = 48\)
Add 12 to both sides:
\(x = 48 + 12\)
\(x = 60\) -
\(x - 25 = 5\)
Add 25 to both sides:
\(x = 5 + 25\)
\(x = 30\) -
\(4x = -24\)
Divide both sides by 4:
\(x = \frac{-24}{4}\)
\(x = -6\) -
\(-6x = -78\)
Divide both sides by -6:
\(x = \frac{-78}{-6}\)
\(x = 13\) -
\(\frac{x}{8} = -8\)
Multiply both sides by 8:
\(x = -8 \times 8\)
\(x = -64\)
Here are the final answers:
- \(x = -16\)
- \(x = -1\)
- \(x = 12\)
- \(x = 100\)
- \(x = -54\)
- \(x = 60\)
- \(x = 30\)
- \(x = -6\)
- \(x = 13\)
- \(x = -64\)
If you have any further questions or need more help, feel free to ask!