1. **Equation:** \(3x - 2 = 7\)
**Steps to Solve:**
a. Add 2 to both sides to isolate the term with \(x\): \(3x - 2 + 2 = 7 + 2\)
b. Simplify: \(3x = 9\)
c. Divide both sides by 3 to solve for \(x\): \(\frac{3x}{3} = \frac{9}{3}\)
d. Simplify: \(x = 3\)
2. **Equation:** \(2y + 5 = 11\)
**Steps to Solve:**
a. Subtract 5 from both sides to isolate the term with \(y\): \(2y + 5 - 5 = 11 - 5\)
b. Simplify: \(2y = 6\)
c. Divide both sides by 2 to solve for \(y\): \(\frac{2y}{2} = \frac{6}{2}\)
d. Simplify: \(y = 3\)
3. **Equation:** \(4a + 7 = 19\)
**Steps to Solve:**
a. Subtract 7 from both sides to isolate the term with \(a\): \(4a + 7 - 7 = 19 - 7\)
b. Simplify: \(4a = 12\)
c. Divide both sides by 4 to solve for \(a\): \(\frac{4a}{4} = \frac{12}{4}\)
d. Simplify: \(a = 3\)
4. **Equation:** \(5b - 3 = 22\)
**Steps to Solve:**
a. Add 3 to both sides to isolate the term with \(b\): \(5b - 3 + 3 = 22 + 3\)
b. Simplify: \(5b = 25\)
c. Divide both sides by 5 to solve for \(b\): \(\frac{5b}{5} = \frac{25}{5}\)
d. Simplify: \(b = 5\)
5. **Equation:** \(6c + 4 = 16\)
**Steps to Solve:**
a. Subtract 4 from both sides to isolate the term with \(c\): \(6c + 4 - 4 = 16 - 4\)
b. Simplify: \(6c = 12\)
c. Divide both sides by 6 to solve for \(c\): \(\frac{6c}{6} = \frac{12}{6}\)
d. Simplify: \(c = 2\)
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