Question

2x-7/12-4x+3/18=5x-6/9​

Answer 1

Ответ:

ответ на фото.

Пошаговое объяснение:

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Answer 2

To solve the equation $2x - \frac{7}{12} - 4x + \frac{3}{18} = 5x - \frac{6}{9}$, you can follow these steps:

Step 1: Simplify the fractions on both sides of the equation.

• On the left side, find a common denominator for $\frac{7}{12}$ and $\frac{3}{18}$, which is 36.
  • $\frac{7}{12} = \frac{7 \cdot 3}{12 \cdot 3} = \frac{21}{36}$
  • $\frac{3}{18} = \frac{3 \cdot 2}{18 \cdot 2} = \frac{6}{36}$

So, the equation becomes: $2x - \frac{21}{36} - 4x + \frac{6}{36} = 5x - \frac{6}{9}$

Step 2: Combine like terms on both sides of the equation.

• On the left side, combine $2x$ and $-4x$ to get $-2x$, and combine $-\frac{21}{36}$ and $\frac{6}{36}$ to get $-\frac{15}{36}$.

The equation now looks like this: $-2x - \frac{15}{36} = 5x - \frac{6}{9}$

Step 3: Further simplify the fractions.

• Reduce $-\frac{15}{36}$ to its simplest form by dividing both the numerator and denominator by their greatest common divisor, which is 3.
  • $-\frac{15}{36} = -\frac{5}{12}$
• Also, simplify $-\frac{6}{9}$ by dividing both the numerator and denominator by their greatest common divisor, which is 3.
  • $-\frac{6}{9} = -\frac{2}{3}$

Now, the equation is: $-2x - \frac{5}{12} = 5x - \frac{2}{3}$

Step 4: Isolate $x$ on one side of the equation.

To isolate $x$, we can start by moving $5x$ to the left side by subtracting $5x$ from both sides of the equation: $-2x - \frac{5}{12} - 5x = -\frac{2}{3}$

Combine the $x$ terms on the left side: $-2x - 5x - \frac{5}{12} = -\frac{2}{3}$

Simplify the $x$ terms: $-7x - \frac{5}{12} = -\frac{2}{3}$

Now, we need to get rid of the fraction on the left side. We can do this by multiplying both sides of the equation by the least common multiple (LCM) of 12 and 3, which is 12. This will clear the fractions: $(-7x - \frac{5}{12}) * 12 = (-\frac{2}{3}) * 12$

Simplify both sides: $-84x - 5 = -8$

Step 5: Solve for $x$.

To isolate $x$, add 5 to both sides of the equation: $-84x - 5 + 5 = -8 + 5$

Simplify both sides: $-84x = -3$

Finally, divide both sides by -84 to solve for $x$: $\frac{-84x}{-84} = \frac{-3}{-84}$