Question

72/80-(х-12/80)=15/80.....​

Answer 1

Ответ:

$\displaystyle x=\frac{69}{80} .$

Пошаговое объяснение:

$\displaystyle \frac{72}{80} - \left(x-\frac{12}{80}\right )=\frac{15}{80} .$

Раскроем скобки в левой части уравнения с учетом знака минус перед скобками:

$\displaystyle \frac{72}{80} -x+\frac{12}{80}=\frac{15}{80};$

приведем подобные в левой части уравнения:

$\displaystyle \left( \frac{72}{80} +\frac{12}{80}\right )-x=\frac{15}{80} ;\\\\\\\frac{84}{80} -x=\frac{15}{80} ;$

преобразуем уравнение:

перенесем неизвестное слагаемое в правую часть, известные - в левую часть, при переносе через знак равно меняем знаки слагаемых на противоположные.

$\displaystyle \frac{84}{80} -\frac{15}{80}=x; \; \; \; \frac{69}{80} =x; \;\;\;x=\frac{69}{80} .$

Ответ: $\displaystyle x=\frac{69}{80} .$

Answer 2

To solve the equation $\frac{72}{80} - \frac{x - 12}{80} = \frac{15}{80}$, you can follow these steps:

Step 1: Combine like terms on the left side of the equation. $\frac{72}{80} - \frac{x}{80} + \frac{12}{80} = \frac{15}{80}$

Step 2: Simplify the fractions. $\frac{9}{10} - \frac{x}{80} + \frac{3}{10} = \frac{15}{80}$

Step 3: Combine the constants on the left side. $\frac{9}{10} + \frac{3}{10} - \frac{x}{80} = \frac{15}{80}$

Step 4: Combine the fractions on the left side. $\frac{12}{10} - \frac{x}{80} = \frac{15}{80}$

Step 5: To eliminate the fractions, you can multiply both sides of the equation by the common denominator, which is 80. $80 \cdot \left(\frac{12}{10} - \frac{x}{80}\right) = 80 \cdot \frac{15}{80}$

Step 6: Simplify both sides. $96 - x = 15$

Step 7: To isolate x, subtract 96 from both sides. $-x = 15 - 96$

Step 8: Continue simplifying. $-x = -81$

Step 9: Finally, multiply both sides by -1 to solve for x. $x = 81$

So, the solution to the equation is $x = 81$.