Question

1. x + 5 = -15

-5 -5
x = -20

1. -4x = 32

÷-4 ÷-4
x = -8

1. -20 = -4m - 5

+5 +5
-15 = -4m

1. 18x -2 + 14x + 42 = -60

Explanation:

Step1: Solve equation 6: \(-20 = -4m - 5\)

Add 5 to both sides: \(-20 + 5 = -4m - 5 + 5\)
Simplify: \(-15 = -4m\)

Step2: Divide both sides by -4

\(m = \frac{-15}{-4} = \frac{15}{4} = 3.75\)

Step1: Solve equation 10: \(18x - 2 + 14x + 42 = -60\)

Combine like terms: \((18x + 14x) + (-2 + 42) = -60\)
Simplify: \(32x + 40 = -60\)

Step2: Subtract 40 from both sides

\(32x + 40 - 40 = -60 - 40\)
Simplify: \(32x = -100\)

Step3: Divide both sides by 32

\(x = \frac{-100}{32} = -\frac{25}{8} = -3.125\)

Answer:

For equation 6: \(m = \frac{15}{4}\) (or \(3.75\))
For equation 10: \(x = -\frac{25}{8}\) (or \(-3.125\))