Question

What is the solution of 3X−2[−1750]=[17−8−130] ? Solve for X algebraically, showing all steps.

Answer 1

To solve the equation, we need to simplify both sides and isolate the variable X.

Starting with the left side:
3X - 2[-1750]

First, we simplify within the brackets:
3X - 2 * -1750

Multiply -2 by -1750:
3X + 3500

Moving on to the right side:
[17 - 8 - 130]

Combine the numbers within the brackets:
17 - 8 - 130

Combine 17 and -8:
9 - 130

Combine 9 and -130:
-121

Now, the equation becomes:
3X + 3500 = -121

To isolate X, we need to move 3500 to the right side of the equation.

Subtract 3500 from both sides:
3X = -121 - 3500
3X = -3621

Finally, divide both sides by 3 to solve for X:
X = -3621 / 3

Simplifying the division:
X = -1207