Question

Solve the expression: 2(4x - 7) = 83 - 7.

A) 2 + 8x - 16
B) 5x - 14 + 3x
C) 2x + 2x - 4 + 4x - 10
D) 8(x - 1) – 6

Answer 1

The correct option is A) 2 + 8x - 16.

Step-by-step explanation:

To solve the given expression, start by distributing the 2 on the left side of the equation:

`\[2(4x - 7) = 83 - 7\]`

`\[8x - 14 = 76\]`

Next, isolate the term with the variable by adding 14 to both sides:

`\[8x = 90\]`

Finally, solve for x by dividing both sides by 8:

`\[x = 11.25\]`

Now, substitute the value of x back into the original expression to verify the solution:

`\[2(4(11.25) - 7) = 83 - 7\]`

`\[2(45 - 7) = 76\]`

`\[2(38) = 76\]`

`\[76 = 76\]`

The solution is confirmed, and the correct option is A) 2 + 8x - 16.