Question

X+22/2 +7x−7/5−9−x/10=1 ​

Answer 1

Відповідь:x+22/2 +7x−7/5−9−x/10=1

X+11+7X-7/5-9-X/10=1

8X+2-7/5-X/10=1

8X+3/5-X/10=1

80X+6-X=10

79X+6=10

79X=10-6

79X=4

X=4/79

Покрокове пояснення:

Answer 2

To solve the given equation, we need to simplify and then isolate the variable $x$. Let's break down the steps:

The given equation is:

$x + \frac{22}{2} + 7x - \frac{7}{5} - 9 - \frac{x}{10} = 1$

First, simplify the equation by performing the operations within the parentheses and fractions:

$x + 11 + 7x - \frac{7}{5} - 9 - \frac{x}{10} = 1$

Combine like terms:

$8x + 2 - \frac{7}{5} - \frac{x}{10} = 1 - 11$

To simplify the fractions, find a common denominator, which in this case is $10$. Rewrite $\frac{7}{5}$ as $\frac{14}{10}$:

$8x + 2 - \frac{14}{10} - \frac{x}{10} = -10$

Combine the fractions:

$8x + 2 - \frac{14 + x}{10} = -10$

To eliminate the fractions, multiply the entire equation by $10$ to get rid of the denominators:

$10(8x) + 10(2) - 10(14 + x) = -10 \times 10$

Simplify:

$80x + 20 - 140 - 10x = -100$

Combine like terms:

$70x - 120 = -100$

Add $120$ to both sides:

$70x = 20$

Divide by $70$ to solve for $x$:

$x = \frac{20}{70} = \frac{2}{7}$

So the solution to the equation is $x = \frac{2}{7}$.