Question

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

Answer 1

Ответ:

(-43/8+(-21/2))-(-x) = (-5.375-21/2)-(-x) = -5.375-10.5-(-x) = -15.875-(-x) = -15.875+x =

Ответ

= -15.875+x

Answer 2

Let's solve the equation step by step. The equation you've provided is:

$-\left(-4\frac{3}{8} + (-2\frac{1}{2})\right) - (-x) = 5.4$

First, let's simplify the expressions inside the parentheses:

$-\left(-4\frac{3}{8} + (-2\frac{1}{2})\right)$

To add these mixed numbers, we need to convert them to improper fractions:

$-\left(-\frac{35}{8} + -\frac{5}{2}\right)$

Now, find a common denominator, which is 8, for these fractions:

$-\left(-\frac{35}{8} + -\frac{20}{8}\right)$

Combine the fractions:

$-\left(-\frac{55}{8}\right)$

Now, the equation becomes:

$\frac{55}{8} - (-x) = 5.4$

Simplify the equation further:

$\frac{55}{8} + x = 5.4$

Now, isolate $x$ by subtracting $\frac{55}{8}$ from both sides of the equation:

$x = 5.4 - \frac{55}{8}$

To subtract the fractions and the decimal, convert $5.4$ to a fraction with a common denominator of $8$:

$x = \frac{43}{10} - \frac{55}{8}$

To subtract fractions, find a common denominator, which is $40$:

$x = \frac{344}{80} - \frac{550}{80}$

Subtract the fractions:

$x = \frac{-206}{80}$

Now, simplify the fraction by dividing both the numerator and denominator by the greatest common divisor (which is $2$):

$x = \frac{-103}{40}$

So, the value of $x$ that satisfies the equation is $-\frac{103}{40}$.