Question

-0,21x-15/56=3/16+257/800x

Answer 1

-0,21x-15/56=3/16+257/800x

-21/100x - 257/800x = 3/16 + 15/56

- 1176/5600x - 1799/5600x = 1050/5600 + 1500/5600
- 2975/5600x= 2550/5600
x = - 2550/5600:2975/5600 = -2550/5600*5600/2975= - 2550/2975 = -102/119 = -6/7
x = - 6/7

Answer 2

To solve the equation, let's first simplify it by getting rid of the fractions. Multiply every term in the equation by the least common multiple (LCM) of the denominators, which in this case is 5600.

-0.21x * 5600 - (15/56) * 5600 = (3/16) * 5600 + (257/800)x * 5600

Simplifying further:

-1176x - 1500 = 1050 + 1792x

Next, let's group the x terms on one side and the constants on the other side:

-1176x - 1792x = 1050 + 1500

Combining like terms:

-2968x = 2550

Now, divide both sides of the equation by -2968 to solve for x:

x = 2550 / -2968

Performing the division:

x ≈ -0.8597

So, the approximate solution to the equation is x ≈ -0.8597.