Question

1. $-22 + 10x = 8x - 6$
2. $11x + 16 = 15x$

Explanation:

Problem 15: $-22 + 10x = 8x - 6$

Step 1: Subtract $8x$ from both sides

To get the $x$ terms on one side, we subtract $8x$ from both sides of the equation.
$-22 + 10x - 8x = 8x - 6 - 8x$
Simplifying gives: $-22 + 2x = -6$

Step 2: Add 22 to both sides

To isolate the term with $x$, we add 22 to both sides.
$-22 + 2x + 22 = -6 + 22$
Simplifying gives: $2x = 16$

Step 3: Divide by 2

To solve for $x$, we divide both sides by 2.
$\frac{2x}{2} = \frac{16}{2}$
Simplifying gives: $x = 8$

Step 1: Subtract $11x$ from both sides

To get the $x$ terms on one side, we subtract $11x$ from both sides of the equation.
$11x + 16 - 11x = 15x - 11x$
Simplifying gives: $16 = 4x$

Step 2: Divide by 4

To solve for $x$, we divide both sides by 4.
$\frac{16}{4} = \frac{4x}{4}$
Simplifying gives: $4 = x$ or $x = 4$

Answer:

$x = 8$

Problem 17: $11x + 16 = 15x$