Question

X+1/4-2x=5-3x/2-(x+x-3/8)

Answer 1

Решение задания смотри на фотографии

Answer 2

To simplify the given expression, let's start by expanding and combining like terms:

x + 1/4 - 2x = 5 - 3x/2 - (x + x - 3/8)

First, let's simplify the expression on the right side of the equation:

5 - 3x/2 - (x + x - 3/8) = 5 - 3x/2 - (2x - 3/8) = 5 - 3x/2 - 2x + 3/8 = 40/8 - 12x/8 - 16x/8 + 3/8 = (40 - 12x - 16x + 3)/8 = (43 - 28x)/8

Now we can rewrite the original equation with the simplified expression:

x + 1/4 - 2x = (43 - 28x)/8

Next, let's combine the terms on the left side of the equation:

x - 2x + 1/4 = (43 - 28x)/8 = -x + 1/4 = (43 - 28x)/8

To eliminate the fractions, we can multiply both sides of the equation by 8:

8 * (-x + 1/4) = 8 * ((43 - 28x)/8)

This simplifies to:

-8x + 2 = 43 - 28x

Now, let's group the x terms on one side and the constant terms on the other side:

-8x + 28x = 43 - 2

Simplifying further:

20x = 41

Finally, solve for x by dividing both sides by 20:

x = 41/20

Therefore, the solution to the given equation is x = 41/20.