Question

extra practice problems

1. -5x - 8 + 12 = 34
2. -14 = 6x - 4 - 7x
3. 4(x - 2) + 2x = 40
4. 6(x - 1) + 11 = 53

Explanation:

Problem 22:

Step 1: Simplify constants

Simplify \(-8 + 12\) to get \(4\). The equation becomes \(-5x + 4 = 34\).

Step 2: Subtract 4 from both sides

Subtract \(4\) from both sides: \(-5x + 4 - 4 = 34 - 4\), so \(-5x = 30\).

Step 3: Divide by -5

Divide both sides by \(-5\): \(\frac{-5x}{-5}=\frac{30}{-5}\), so \(x = -6\).

Problem 23:

Step 1: Combine like terms

Combine \(6x - 7x\) to get \(-x\). The equation becomes \(-14 = -x - 4\).

Step 2: Add 4 to both sides

Add \(4\) to both sides: \(-14 + 4 = -x - 4 + 4\), so \(-10 = -x\).

Step 3: Multiply by -1

Multiply both sides by \(-1\): \(x = 10\).

Problem 25:

Step 1: Distribute the 4

Distribute \(4\) in \(4(x - 2)\): \(4x - 8 + 2x = 40\).

Step 2: Combine like terms

Combine \(4x + 2x\) to get \(6x\). The equation becomes \(6x - 8 = 40\).

Step 3: Add 8 to both sides

Add \(8\) to both sides: \(6x - 8 + 8 = 40 + 8\), so \(6x = 48\).

Step 4: Divide by 6

Divide both sides by \(6\): \(\frac{6x}{6}=\frac{48}{6}\), so \(x = 8\).

Problem 26:

Answer:

s:

• Problem 22: \(x = -6\)
• Problem 23: \(x = 10\)
• Problem 25: \(x = 8\)
• Problem 26: \(x = 8\)