To solve for x, we first need to simplify the left side of the equation:
2/5 * (x - 8/5) - 0.75 = 13/4
Distribute 2/5 to (x - 8/5):
2/5 x - 2/5 8/5 - 0.75 = 13/42/5 * x - 16/25 - 0.75 = 13/4
Combine like terms:
2/5 * x - 41/25 = 13/4
Add 41/25 to both sides:
2/5 x = 13/4 + 41/252/5 x = 325/100 + 82/100
2/5 * x = 407/100
To solve for x, multiply both sides by the reciprocal of 2/5, which is 5/2:
x = (5/2) * (407/100)x = 2035/200x = 10.175
Therefore, x ≈ 10.175.
To solve for x, we first need to simplify the left side of the equation:
2/5 * (x - 8/5) - 0.75 = 13/4
Distribute 2/5 to (x - 8/5):
2/5 x - 2/5 8/5 - 0.75 = 13/4
2/5 * x - 16/25 - 0.75 = 13/4
Combine like terms:
2/5 * x - 41/25 = 13/4
Add 41/25 to both sides:
2/5 x = 13/4 + 41/25
2/5 x = 325/100 + 82/100
2/5 * x = 407/100
To solve for x, multiply both sides by the reciprocal of 2/5, which is 5/2:
x = (5/2) * (407/100)
x = 2035/200
x = 10.175
Therefore, x ≈ 10.175.