What is the solution of 3X−2[−1750]=[17−8−130] ? Solve for X algebraically, showing all steps.
To solve the equation 3X - 2[-1750] = [17 - 8 - 130] algebraically, follow these steps:
Step 1: Simplify the equation by distributing the coefficients
3X + 2 * 1750 = [17 - 8 - 130]
Step 2: Evaluate the expression inside the brackets on the right side of the equation
3X + 3500 = [(-121)]
Step 3: Simplify the expression inside the brackets
3X + 3500 = -121
Step 4: Move the constant term to the other side of the equation by subtracting 3500 from both sides
3X = -121 - 3500
Step 5: Combine like terms
3X = -3621
Step 6: Solve for X by dividing both sides of the equation by the coefficient of X, which is 3
X = -3621 / 3
Step 7: Calculate the division
X = -1207
Therefore, the solution to the equation is X = -1207.
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
To solve the equation 3X−2[−1750]=[17−8−130], we can follow these steps:
Step 1: Evaluate the bracket on the right side of the equation.
[17−8−130] = [9−130] = −121
Step 2: Replace the bracket on the right side of the equation with the evaluated value.
3X−2[−1750] = −121
Step 3: Simplify the equation further.
3X+3500 = −121
Step 4: To isolate X, we need to get rid of the constant term on the left side of the equation. Subtract 3500 from both sides.
3X = −121−3500
Step 5: Simplify the right side of the equation.
3X = −3621
Step 6: Finally, divide both sides of the equation by 3 to solve for X.
X = −3621/3
Therefore, the solution to the equation is X = −1207.