Question

3/4х-2/3х+1=1/2x+1/6

Answer 1

3/4х-2/3х-1/2х=1/6-6/6
(сводим к общему знаменателю):
9-8-6/12х=-5/6
-5/12х=-5/6
х=-5/6×12/5
(сокращаем):
х=2

Answer 2

3/4х-2/3x-1/2x=1/6-1
9/12x-8/12x-6/12x=-5/6
-5/12x=-5/6
x=5/6:5/12=5/6*12/5=2
ответ:2

Answer 3

I can help you solve this equation. Here are the steps:

- Subtract 1/2x from both sides: $$\frac{3}{4}x - \frac{2}{3}x + 1 - \frac{1}{2}x = \frac{1}{6}$$ - Simplify the left side by finding the common denominator and adding the fractions: $$\frac{9}{12}x - \frac{8}{12}x - \frac{6}{12}x + 1 = \frac{1}{6}$$ - Combine the terms with x: $$-\frac{5}{12}x + 1 = \frac{1}{6}$$ - Subtract 1 from both sides: $$-\frac{5}{12}x = \frac{1}{6} - 1$$ - Simplify the right side by finding the common denominator and subtracting the fractions: $$-\frac{5}{12}x = -\frac{5}{12}$$ - Divide both sides by -5/12: $$x = \frac{-\frac{5}{12}}{-\frac{5}{12}}$$ - Simplify the fraction by multiplying the numerator and denominator by the reciprocal of the denominator: $$x = \frac{12}{5}$$

The solution is $$x = \frac{12}{5}$$

You can check your answer by plugging it back into the original equation and simplifying. You should get a true statement.

If you need more help with solving equations, you can use these online calculators or . They will show you the steps and explanations for different types of equations. You can also learn more about equations from this blog post .

I hope this was helpful. Do you have any other questions for me?