Question

116/125-(41/125+x)=24/125​

Answer 1

Ответ:

51/125

Пошаговое объяснение:

Answer 2

$\displaystyle \tt \frac{116}{125}-\bigg(\frac{41}{125}+x\bigg)=\frac{24}{125}\\\\\displaystyle \tt \frac{116}{125}-\frac{41}{125}-x=\frac{24}{125}\\\\ \displaystyle \tt \frac{75}{125}-x=\frac{24}{125}\\\\\displaystyle \tt x=\frac{75}{125}-\frac{24}{125}\\\\\displaystyle \tt x=\frac{51}{125}\\\\ \displaystyle \tt \bold{x=0,408}$

Answer 3

To solve the equation, we need to isolate the variable 'x' on one side of the equation. Here are the steps to do that:

Step 1: Combine the fractions on the left-hand side (LHS) of the equation: 116/125 - (41/125 + x) = 24/125

Step 2: Simplify the expression inside the parentheses on the left-hand side: 116/125 - 41/125 - x = 24/125

Step 3: Combine the fractions on the left-hand side: (116 - 41)/125 - x = 24/125

Step 4: Further simplify the left-hand side: 75/125 - x = 24/125

Step 5: Now, we can isolate 'x' by moving the term containing 'x' to the other side of the equation: -x = 24/125 - 75/125

Step 6: Continue simplifying: -x = (24 - 75)/125 -x = -51/125

Step 7: To solve for 'x,' multiply both sides by -1: x = 51/125

So, the value of 'x' that satisfies the equation is x = 51/125.