Question

Part A: Solve the equation 5(x + 2) = 6x + 3x − 14, and show your work. (5 points)

Answer 1

Answer:

x = 6

Step-by-step explanation:

Step 1 - Expand brackets via distributive property:

$5(x + 2) = 6x + 3x - 14\\5(x) + 5(2) = 6x + 3x - 14\\5x + 10 = 6x + 3x - 14$

Step 2 - Combine like terms:

$5x + 10 = 6x + 3x - 14\\5x + 10 = 9x - 14$

Step 3 - Use the addition property of equality to isolate the 9x:

$5x + 10 = 9x - 14\\5x + 10 + 14 = 9x - 14 + 14\\5x + 24 = 9x$

Step 4 - Use the subtraction property of equality to move the 5x over and isolate the 24:

$5x + 24 = 9x\\5x + 24 - 5x = 9x - 5x\\24 = 4x$

Step 5 - Use the division property of equality to simplify:

$4x = 24\\\\\frac{4x}{4} = \frac{24}{4}\\\\x = 6$

Hope this helps!