5x/9-11=-51
5x/9-11=-51
5x/9 = -40
5x = -360
x = -72
To solve the equation 5x/9 - 11 = -51, we can follow these steps:
Step 1: Move the constant term (number without a variable) to the other side of the equation. In this case, we want to move -11 to the right side.
To do that, we can add 11 to both sides of the equation:
5x/9 - 11 + 11 = -51 + 11
The -11 and +11 on the left side cancel each other out, leaving us with:
5x/9 = -40
Step 2: We need to isolate the variable (x) on one side of the equation. In this case, we want to get rid of the fraction by multiplying both sides of the equation by 9.
(9)(5x/9) = (9)(-40)
On the left side, the 9 and 9 cancel each other out, leaving us with:
5x = -360
Step 3: Finally, divide both sides of the equation by 5 to solve for x:
(5x)/5 = -360/5
On the left side, the 5 and 5 cancel each other out, leaving us with:
x = -72
Therefore, the solution to the equation 5x/9 - 11 = -51 is x = -72.