Question

1. Solve for x: 3(2x – 1) – 10 = 8 + 5x A. -7 B. -3 C. 19 D. 21

Answer 1

Answer:

D. 21

Step-by-step explanation:

Given equation: $\[3(2x – 1) – 10 = 8 + 5x\]$

Simplifying:

$\[6x – 3 – 10 = 8 + 5x\]$

=> $\[6x – 13 = 8 + 5x\]$

=> $\[6x – 5x = 8 + 13\]$

=> $\[(6 – 5)x = 21\]$

=> $\[x = 21\]$

Verifying by substituting the value of x in the equation:

Left Hand Side: $\[3(2x – 1) – 10\]$

$\[3(2*21 – 1) – 10\]$

= $\[3(42 – 1) – 10\]$

= $\[3(41) – 10\]$

= $\[123 – 10\]$

= $\[113\]$

Right Hand Side: $\[8 + 5x\]$

= $\[8 + 5*21\]$

= $\[8 + 105\]$

= $\[113\]$

So, Left Hand Side = Right Hand Side when x=21.

Answer 2

Answer:

(D) 21

Explanation:

3(2x−1)−10=8+5x

Step 1: Simplify both sides of the equation.

3(2x−1)−10=8+5x

(3)(2x)+(3)(−1)+−10=8+5x(Distribute)

6x+−3+−10=8+5x

(6x)+(−3+−10)=5x+8(Combine Like Terms)

6x+−13=5x+8

6x−13=5x+8

Step 2: Subtract 5x from both sides.

6x−13−5x=5x+8−5x

x−13=8

Step 3: Add 13 to both sides.

x−13+13=8+13

x=21