Question

For the equation 3x - 6 + x - 10 = 10x + 8 - 7x, what is the value of x after simplifying the equation through the steps provided earlier?

A) x = 2
B) x = 4
C) x = 8
D) x = 24

Answer 1

D

Step-by-step explanation:

given the equation

3x - 6 + x - 10 = 10x + 8 - 7x ( collect like terms on both sides )

4x - 16 = 3x + 8 ( subtract 3x from both sides )

x - 16 = 8 ( add 16 to both sides )

x = 24

Answer 2

To find the value of x in the equation 3x - 6 + x - 10 = 10x + 8 - 7x, we combine like terms, subtract 3x from both sides to isolate x, and then add 16 to both sides, resulting in x = 24.

Step-by-step explanation:

The student's question involves simplifying an algebraic equation to find the value of x. The equation given is 3x - 6 + x - 10 = 10x + 8 - 7x. To solve for x, we first combine like terms on each side of the equation:

• (3x + x) - 6 - 10 = (10x - 7x) + 8
• 4x - 16 = 3x + 8

Next, we isolate the variable x on one side by subtracting 3x from both sides:

• 4x - 3x - 16 = 3x - 3x + 8
• x - 16 = 8

Finally, we add 16 to both sides to solve for x:

• x - 16 + 16 = 8 + 16
• x = 24

Therefore, the value of x after simplifying the equation is 24, which corresponds to option D).