Question

X+2/2+7x−6/5−8−x/10=1.

Answer 1

Ответ:

Пошаговое объяснение:

(x+2)/2+(7x−6)/5−(8−x)/10=1.

5(х+2)+2(7х-6)-(8-х)=1*10

5х+10+14х-12-8+х=10

5х+14х-х=10+8+12-10

20х=20

х=20:20

х=1

Answer 2

To solve the equation, we need to combine like terms and then isolate the variable x on one side of the equation. Let's simplify the equation step by step:

Step 1: Combine the like terms on the left-hand side: x + (2/2) + 7x - (6/5) - 8 - (x/10) = 1 x + 1 + 7x - (6/5) - 8 - (x/10) = 1

Step 2: To eliminate fractions, find a common denominator. The common denominator for 2, 5, and 10 is 10. x + 1 + 7x - (12/10) - 8 - (x/10) = 1

Step 3: Combine the remaining like terms on the left-hand side: x + 7x - x + 1 - (12/10) - 8 = 1 (7x - x - x) + (1 - 8 - 12/10) = 1 6x - 19/10 = 1

Step 4: To get rid of the fraction, multiply both sides of the equation by 10 (the denominator of the fraction): 10 * (6x - 19/10) = 10 * 1 10 * 6x - 10 * (19/10) = 10

Step 5: Simplify the equation further: 60x - 19 = 10

Step 6: Isolate x by moving the constant term (-19) to the other side of the equation by adding 19 to both sides: 60x = 10 + 19 60x = 29

Step 7: Finally, solve for x by dividing both sides by 60: x = 29/60

So, the solution to the equation is x = 29/60.