Solve using inverse operations.

Question

-4 + 2b = -40

Answer 1

To solve the equation \(-4 + 2b = -40\) using inverse operations, follow these steps:

1. Add 4 to both sides to isolate the term with \(b\): \[ -4 + 2b + 4 = -40 + 4 \] Simplifying this gives: \[ 2b = -36 \]

2. Divide both sides by 2 to solve for \(b\): \[ \frac{2b}{2} = \frac{-36}{2} \] Simplifying this gives: \[ b = -18 \]

So the solution to the equation \(-4 + 2b = -40\) is: \[ b = -18 \]

Answer 2

Solve using inverse operations.
4(x - 4) = x - 13

Answer 3

To solve the equation \( 4(x - 4) = x - 13 \) using inverse operations, follow these steps:

1. Distribute the 4 on the left side: \[ 4x - 16 = x - 13 \]

2. Subtract \( x \) from both sides to move all \( x \) terms to one side: \[ 4x - x - 16 = -13 \] This simplifies to: \[ 3x - 16 = -13 \]

3. Add 16 to both sides to isolate the term with \( x \): \[ 3x - 16 + 16 = -13 + 16 \] Simplifying gives: \[ 3x = 3 \]

4. Divide both sides by 3 to solve for \( x \): \[ \frac{3x}{3} = \frac{3}{3} \] Simplifying this gives: \[ x = 1 \]

So the solution to the equation \( 4(x - 4) = x - 13 \) is: \[ x = 1 \]

Answer 4

Solve using inverse operations.
8 (2m+3) =120

Answer 5

To solve the equation \( 8(2m + 3) = 120 \) using inverse operations, follow these steps:

1. Divide both sides by 8 to isolate the expression in parentheses: \[ \frac{8(2m + 3)}{8} = \frac{120}{8} \] This simplifies to: \[ 2m + 3 = 15 \]

2. Subtract 3 from both sides to isolate the term with \( m \): \[ 2m + 3 - 3 = 15 - 3 \] Simplifying gives: \[ 2m = 12 \]

3. Divide both sides by 2 to solve for \( m \): \[ \frac{2m}{2} = \frac{12}{2} \] This simplifies to: \[ m = 6 \]

So the solution to the equation \( 8(2m + 3) = 120 \) is: \[ m = 6 \]