Question

0,8×0,5×(a+3)=2-0,2×(a-6)

Answer 1

0,4*(а+3)=2-0,2а+1,2

0,4а+1,2=3,2-0,2а

0,4а+0,2а=3,2-1,2

0,6а=2

а=2:6/10

а=2*10/6

а=20/6=10/3

а=3 1/3

Answer 2

To solve the equation $0.8 \times 0.5 \times (a + 3) = 2 - 0.2 \times (a - 6)$ for the variable $a$, follow these steps:

Step 1: Distribute the multiplication on both sides of the equation: $0.4 \times (a + 3) = 2 - 0.2 \times (a - 6)$

Step 2: Distribute the multiplication on the right side of the equation: $0.4a + 1.2 = 2 - 0.2a + 1.2$

Step 3: Combine like terms on the right side of the equation: $0.4a + 0.2a = 2 - 1.2$

Step 4: Simplify both sides of the equation: $0.6a = 0.8$

Step 5: Solve for $a$ by dividing both sides by $0.6$: $a = \frac{0.8}{0.6} = \frac{4}{3} \approx 1.33$

So, the solution for the equation is $a \approx 1.33$.