Solve each of the following equations for x.

Question

Equation Solution
x+3=10 x=7, x=4,x=10,x=3
3x+4=16 x=7,x=4 ,x = 16
12-4x=-20 x=-20, x=12,x=4,x=8

Answer 1

Let's solve each of the equations step-by-step.

1. Equation: \( x + 3 = 10 \)

   To solve for \( x \): \[ x = 10 - 3 \] \[ x = 7 \]

   Solution: \( x = 7 \)

2. Equation: \( 3x + 4 = 16 \)

   To solve for \( x \): \[ 3x = 16 - 4 \] \[ 3x = 12 \] \[ x = \frac{12}{3} \] \[ x = 4 \]

   Solution: \( x = 4 \)

3. Equation: \( 12 - 4x = -20 \)

   To solve for \( x \): \[ -4x = -20 - 12 \] \[ -4x = -32 \] \[ x = \frac{-32}{-4} \] \[ x = 8 \]

   Solution: \( x = 8 \)

Summary of Solutions:

1. For \( x + 3 = 10 \): \( x = 7 \)
2. For \( 3x + 4 = 16 \): \( x = 4 \)
3. For \( 12 - 4x = -20 \): \( x = 8 \)

The correct answers are:

• The first equation has a solution of \( x = 7 \).
• The second equation has a solution of \( x = 4 \).
• The third equation has a solution of \( x = 8 \).

None of the incorrect answers or extraneous solutions provided in your list are correct.