Question

-7/8 х+(-7/3)х+5/3=-2/3​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To solve the equation (-7/8)x + (-7/3)x + 5/3 = -2/3, follow these steps:

Step 1: Combine like terms on the left side of the equation. (-7/8)x + (-7/3)x is the same as (-7/8 - 7/3)x. To add these fractions, find a common denominator, which is 24.

So, (-7/8 - 7/3)x becomes: (-21/24 - 56/24)x = (-77/24)x

Step 2: Rewrite the equation with the combined terms: (-77/24)x + 5/3 = -2/3

Step 3: Isolate the variable x by moving the constants to the other side of the equation.

Subtract 5/3 from both sides: (-77/24)x = -2/3 - 5/3

Simplify the right side: (-77/24)x = -7/3

Step 4: Solve for x by dividing both sides by the coefficient of x, which is -77/24. Remember that dividing by a fraction is the same as multiplying by its reciprocal.

x = (-7/3) / (-77/24)

To divide, multiply by the reciprocal: x = (-7/3) * (-24/77)

Simplify the expression on the right side by canceling common factors: x = (7/3) * (8/77)

x = (7/3) * (8/77)

Now, multiply the numerators together and the denominators together: x = (7 * 8) / (3 * 77)

x = 56 / 231

Now, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 7: x = (56/7) / (231/7)

x = 8 / 33

So, the solution to the equation is: x = 8/33