Question

0,8*(9+2х)=0,5*(2-3х)

Answer 1

0,8*(9+2х)=0,5*(2-3х)
7,2+1,6x=1-1,5x
1,6x+1,5x=1-7,2
3,1x=-6,2
x=-2

Answer 2

To solve the equation 0.8*(9+2x) = 0.5*(2-3x), follow these steps:

Step 1: Distribute the multiplication on both sides of the equation: 0.89 + 0.82x = 0.52 - 0.53x

Step 2: Simplify the equation: 7.2 + 1.6x = 1 - 1.5x

Step 3: Move the x terms to one side and the constant terms to the other side: 1.6x + 1.5x = 1 - 7.2

Step 4: Combine like terms: 3.1x = -6.2

Step 5: Solve for x by dividing both sides by 3.1: x = -6.2 / 3.1

Step 6: Calculate the value of x: x = -2

So, the solution to the equation is x = -2.