Question

1: solve for x:
14 - 4x = 26
2: solve for x:
\frac{x + 18}{4} = 5
3: solve for x:
20x - 2 = 8
4: solve for x:
1 + 33x = 12

Explanation:

Problem 1: Solve for \( x \): \( 14 - 4x = 26 \)

Step 1: Subtract 14 from both sides

To isolate the term with \( x \), we subtract 14 from both sides of the equation.
\( 14 - 4x - 14 = 26 - 14 \)
Simplifying both sides, we get:
\( -4x = 12 \)

Step 2: Divide by -4

To solve for \( x \), we divide both sides of the equation by -4.
\( \frac{-4x}{-4} = \frac{12}{-4} \)
Simplifying, we find:
\( x = -3 \)

Step 1: Multiply both sides by 4

To eliminate the denominator, we multiply both sides of the equation by 4.
\( 4 \times \frac{x + 18}{4} = 5 \times 4 \)
Simplifying both sides, we get:
\( x + 18 = 20 \)

Step 2: Subtract 18 from both sides

To solve for \( x \), we subtract 18 from both sides of the equation.
\( x + 18 - 18 = 20 - 18 \)
Simplifying, we find:
\( x = 2 \)

Step 1: Add 2 to both sides

To isolate the term with \( x \), we add 2 to both sides of the equation.
\( 20x - 2 + 2 = 8 + 2 \)
Simplifying both sides, we get:
\( 20x = 10 \)

Step 2: Divide by 20

To solve for \( x \), we divide both sides of the equation by 20.
\( \frac{20x}{20} = \frac{10}{20} \)
Simplifying, we find:
\( x = \frac{1}{2} \) (or \( 0.5 \))

Answer:

\( x = -3 \)

Problem 2: Solve for \( x \): \( \frac{x + 18}{4} = 5 \)