Question

Решением уравнения(60+24(2х+77)):36=55является число

Answer 1

$\frac{60+24(2x+77)}{36} =55 \\ \\ 60+24(2x+77) =1980 \\ \\ 24(2x+77) =1920 \\ \\ 2x+77 =80 \\ \\ 2x = 3 \\ \\ x = 1,5$

Ответ: x = 1,5

Answer 2

$\frac{60 + 24(2x + 77)}{36} = 55 \\ 60 + 48x + 1848 = 1980 \\ 48x = 72 \\ x = 72 \div 48 \\ x = 1.5$

Ответ: х=1,5.

Answer 3

To find the solution to the equation $\frac{{60+24(2x+77)}}{{36}} = 55$, we need to solve for $x$.

Step 1: Simplify the expression inside the parentheses. $2x + 77$ cannot be simplified further.

Step 2: Distribute the 24 into the parentheses. $60 + 24(2x + 77) = 60 + 48x + 1848$

Step 3: Combine like terms. $60 + 48x + 1848 = 48x + 1908$

Step 4: Set up the equation and solve for $x$. $\frac{{48x + 1908}}{{36}} = 55$

Step 5: Multiply both sides by 36 to eliminate the fraction. $48x + 1908 = 55 \times 36$

Step 6: Simplify the right side of the equation. $48x + 1908 = 1980$

Step 7: Isolate $x$ by subtracting 1908 from both sides. $48x = 1980 - 1908$

Step 8: Perform the subtraction. $48x = 72$

Step 9: Finally, solve for $x$ by dividing both sides by 48. $x = \frac{{72}}{{48}}$

$x = \frac{3}{2}$

So, the solution to the equation is $x = \frac{3}{2}$, which is equivalent to $x = 1.5$.