8--w/10=3/5
To solve the equation 8 - w/10 = 3/5, follow these steps:
Step 1: Simplify the equation if possible. In this case, we can simplify the left side of the equation by multiplying 8 by 10 to get 80.
80 - w/10 = 3/5
Step 2: Get rid of the fraction by multiplying both sides of the equation by 5. This will eliminate the fraction on the right side of the equation.
5 * (80 - w/10) = 5 * (3/5)
This simplifies to:
400 - 5w/10 = 3
Step 3: Distribute the multiplication on the left side of the equation.
400 - (5/10)w = 3
Step 4: Simplify the equation further. In this case, we can simplify 5/10 to 1/2.
400 - (1/2)w = 3
Step 5: Isolate the variable by moving constant terms to the other side of the equation. In this case, move 400 to the right side of the equation.
-(1/2)w = 3 - 400
This simplifies to:
-(1/2)w = -397
Step 6: Solve for w by dividing both sides of the equation by -(1/2).
-(1/2)w / -(1/2) = -397 / -(1/2)
This simplifies to:
w = -397 / -(1/2)
Step 7: Simplify the division on the right side of the equation. To divide by a fraction, multiply by its reciprocal (flipped version). The reciprocal of -(1/2) is -2/1, or simply -2.
w = -397 * -2
This simplifies to:
w = 794
So, the solution to the equation 8 - w/10 = 3/5 is w = 794.