Question

1. -3x + 5.4 = 7.2
2. 6.4x + 2.75 = -10.05
3. 7 = 14.5 - 2x
4. 25 - 10x = 45
5. -x + 15 = 9
6. 3.5 = 4x - 10.75
7. -16 = 2.85 - 1.25x
8. -24x - 36 = -72
9. -2.6x + 6.5 = 0

Explanation:

Problem 5: $-3x + 5.4 = 7.2$

Step 1: Subtract 5.4 from both sides

To isolate the term with \( x \), we subtract 5.4 from both sides of the equation.

$$ -3x + 5.4 - 5.4 = 7.2 - 5.4 $$

Simplifying both sides, we get:

$$ -3x = 1.8 $$

Step 2: Divide by -3

To solve for \( x \), we divide both sides of the equation by -3.

$$ x = \frac{1.8}{-3} $$

Simplifying the right side, we find:

$$ x = -0.6 $$

Step 1: Subtract 2.75 from both sides

To isolate the term with \( x \), we subtract 2.75 from both sides of the equation.

$$ 6.4x + 2.75 - 2.75 = -10.05 - 2.75 $$

Simplifying both sides, we get:

$$ 6.4x = -12.8 $$

Step 2: Divide by 6.4

To solve for \( x \), we divide both sides of the equation by 6.4.

$$ x = \frac{-12.8}{6.4} $$

Simplifying the right side, we find:

$$ x = -2 $$

Step 1: Subtract 14.5 from both sides

To isolate the term with \( x \), we subtract 14.5 from both sides of the equation.

$$ 7 - 14.5 = 14.5 - 2x - 14.5 $$

Simplifying both sides, we get:

$$ -7.5 = -2x $$

Step 2: Divide by -2

To solve for \( x \), we divide both sides of the equation by -2.

$$ x = \frac{-7.5}{-2} $$

Simplifying the right side, we find:

$$ x = 3.75 $$

Answer:

\( x = -0.6 \)

Problem 6: $6.4x + 2.75 = -10.05$