Question

-7/8 +(-7/3)х+5/3=-2/3​

Answer 1

Ответ:

x = 5/8

Пошаговое объяснение:

-7/8 +(-7/3)х+5/3=-2/3​

-7/8 -(7/3)х = -2/3 - 5/3

-7/8 -(7/3)х = -7/3

-(7/3)x = -7/3 + 7/8

-(7/3)x = -56/24 + 21/24

-(7/3)x = -35/24

x = 35/24 * 3/7

x = 5/8

Answer 2

To solve the equation, we'll simplify the left-hand side and isolate the variable, x.

Starting with the left-hand side:

-7/8 + (-7/3)x + 5/3

We need to find a common denominator for the fractions. The least common multiple (LCM) of 8 and 3 is 24. Let's convert the fractions to have a denominator of 24:

(-21/24) + (-56/24)x + (40/24) = -2/3

Now, we can combine the numerators over the common denominator:

(-21 - 56x + 40)/24 = -2/3

Next, we'll simplify the expression:

(-21 - 56x + 40)/24 = -2/3

Combine like terms in the numerator:

(-21 + 40 - 56x)/24 = -2/3

Combine further:

(19 - 56x)/24 = -2/3

Now, we'll cross-multiply to eliminate the fractions:

3(19 - 56x) = -2(24)

Simplify:

57 - 168x = -48

Next, we'll isolate the variable, x:

57 - 168x = -48

Subtract 57 from both sides:

-168x = -105

Divide by -168:

x = -105 / -168

Simplify the fraction:

x = 5/8

Therefore, the solution to the equation is x = 5/8.