Question

1/4х=-1/2-(1/3х-5) ?????

Answer 1

Ответ:

ответ во вложении..............

Answer 2

To solve the equation 1/4x = -1/2 - (1/3x - 5), we'll first simplify the expression on the right side:

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

Let's simplify the right side of the equation:

1/4x = -1/2 - 1/3x + 5

Now, let's combine the fractions on the right side by finding a common denominator:

1/4x = (-3/6) - (2/6)x + 5

Next, let's multiply both sides of the equation by the common denominator to eliminate the fractions:

6 * (1/4x) = 6 * (-3/6) - 6 * (2/6)x + 6 * 5

Simplifying further:

6/4x = -3 - (2/3)x + 30

Now, let's simplify the equation by multiplying through by 4x to eliminate the fraction:

(6/4x) * 4x = (-3 - (2/3)x + 30) * 4x

6 = -12x - (8/3)x + 120x

Now, let's combine the x terms on the right side:

6 = (120 - 12 - (8/3))x

6 = (120 - 12 - 8/3)x

Now, let's simplify the right side:

6 = (108 - 8/3)x

To isolate x, we'll multiply both sides by the reciprocal of (108 - 8/3), which is 3/8:

(3/8) * 6 = (108 - 8/3)x * (3/8)

9/4 = (108 - 8/3)x * (3/8)

Now, let's simplify the right side:

9/4 = (324/3 - 8/3)x * (3/8)

9/4 = (316/3)x * (3/8)

Now, let's simplify the equation further:

9/4 = (316/8)x

To solve for x, we'll multiply both sides by the reciprocal of (316/8), which is 8/316:

(8/316) * (9/4) = (316/8)x * (8/316)

18/1264 = x

Therefore, the solution to the equation is x = 18/1264, or simplified further, x = 9/632.