Question

29/75-(2/3∙х+4/15)∙23/30=2/25

Answer 1

Ответ: (2*х/3+4/15)=(29/75-2/25):23/30=(29/75-6/75):23/30=23/75:23/30=30/75=0,4 или 2*х/3=0,4-4/15=(4-2 2/3)/10=4/30=2/15 или 2/15*3/2=1/5.

Ответ х=1/5.

Пошаговое объяснение:

Answer 2

To solve the equation, let's first simplify the expression on the left side and then find the value of "x."

Step 1: Simplify the expression on the left side. 29/75 - (2/3 * x + 4/15) * 23/30 = 2/25

Step 2: Distribute the multiplication inside the parentheses. 29/75 - (46/90 * x + 46/150) = 2/25

Step 3: Convert all fractions to have a common denominator of 150 (the least common multiple of 75, 90, and 150). To do this, we multiply the first fraction by 2/2, the second fraction by 5/5, and the third fraction by 10/10.

(2/2) * 29/75 - (5/5 * 46/90 * x + 10/10 * 46/150) = 2/25

Step 4: Simplify the fractions. 58/150 - (230/450 * x + 460/1500) = 2/25

Step 5: Combine like terms. 58/150 - 230/450 * x - 460/1500 = 2/25

Step 6: Convert all fractions to have a common denominator of 1500.

(3/3) * 58/150 - (3/3) * 230/450 * x - 150/150 * 460/1500 = 60/1500

Step 7: Simplify further. 174/450 - 690/1350 * x - 690/1500 = 60/1500

Step 8: Combine like terms. 174/450 - 690/1350 * x - 69/100 = 60/1500

Step 9: Convert the whole equation to have a common denominator of 4500 (the least common multiple of 450 and 100).

(10/10) * 174/450 - (10/10) * 690/1350 * x - 45/45 * 69/100 = 3/75

Step 10: Simplify further.

1740/4500 - 3450/4500 * x - 45/100 = 3/75

Step 11: Combine like terms.

1740/4500 - 3450/4500 * x - 9/20 = 3/75

Step 12: Now, isolate the variable "x."

Subtract 1740/4500 from both sides of the equation and simplify the fractions.

• 3450/4500 * x - 9/20 = 3/75 - 1740/4500

Step 13: Find a common denominator for the right side.

• 3450/4500 * x - 9/20 = 12/300 - 1740/4500

Step 14: Simplify the right side.

• 3450/4500 * x - 9/20 = -1332/4500

Step 15: Now, isolate the term with "x."

Add 9/20 to both sides of the equation.

• 3450/4500 * x = -1332/4500 + 9/20

Step 16: Find a common denominator for the right side.

• 3450/4500 * x = -1332/4500 + 4050/4500

Step 17: Simplify the right side.

• 3450/4500 * x = 2718/4500

Step 18: Now, solve for "x" by isolating it on one side of the equation.

x = (2718/4500) / (-3450/4500)

Step 19: Divide the fractions.

x = 2718/4500 * (-4500/3450)

Step 20: Simplify further.

x = -2718/3450

Step 21: Reduce the fraction, if possible.

x = -906/1150

So, the solution to the equation is x = -906/1150.