Answer:
x = (-9)/5
Step-by-step explanation:
Solve for x:
(-2 x)/9 = 2/5
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of (-2 x)/9 = 2/5 by -9/2:
(-9 (-2) x)/(2×9) = (-9)/2×2/5
Hint: | Express (-9)/2×(-2)/9 as a single fraction.
(-9)/2×(-2)/9 = (-9 (-2))/(2×9):
(-9 (-2))/(2×9) x = (-9)/2×2/5
Hint: | Express (-9)/2×2/5 as a single fraction.
(-9)/2×2/5 = (-9×2)/(2×5):
(-9 (-2) x)/(2×9) = (-9×2)/(2×5)
Hint: | In (-9 (-2) x)/(2×9), divide -9 in the numerator by 9 in the denominator.
(-9)/9 = (9 (-1))/9 = -1:
(-2-1 x)/2 = (-9×2)/(2×5)
Hint: | In (-(-2) x)/2, divide -2 in the numerator by 2 in the denominator.
(-2)/2 = (2 (-1))/2 = -1:
--1 x = (-9×2)/(2×5)
Hint: | Multiply all instances of -1 in -(-x).
(-1)^2 = 1:
x = (-9×2)/(2×5)
Hint: | Cancel common terms in the numerator and denominator of (-9×2)/(2×5).
(-9×2)/(2×5) = 2/2×(-9)/5 = (-9)/5:
Answer: x = (-9)/5
