Question

Помогите решить уравнение: 8×(3m-2)-13=5×(12+3m)+28 2 способами дам 10 баллов

Answer 1

8×(3m-2)-13=5×(12+3m)+28
24m -16-13=60+15m+28
24m-15m=60+28+16+13
9m=117
m=117/9
m=13

Answer 2

8×(3m-2)-13=5×(12+3m)+28
24m-16-13=60+15m+28
24m-15m=60+28+16+13
9m=117
m=117:9
m=13

Answer 3

Solving the Equation: 8×(3m-2)-13=5×(12+3m)+28

To solve the equation 8×(3m-2)-13=5×(12+3m)+28, we can follow these steps:

1. Distribute the Multiplication: - Multiply 8 by each term inside the parentheses and simplify the expression. 2. Combine Like Terms: - Combine the like terms on both sides of the equation. 3. Isolate the Variable: - Get the variable (m) on one side of the equation.

Let's solve the equation step by step.

Step 1: Distribute the Multiplication

We start by distributing the multiplication on both sides of the equation.

On the left side: 8×(3m-2) = 24m - 16

On the right side: 5×(12+3m) = 60 + 15m

Step 2: Combine Like Terms

Now, we combine the like terms on both sides of the equation.

The equation becomes: 24m - 16 - 13 = 60 + 15m + 28

Simplify the equation: 24m - 29 = 60 + 15m + 28

Step 3: Isolate the Variable

Next, we isolate the variable (m) on one side of the equation.

Subtract 15m from both sides: 24m - 15m - 29 = 60 + 28

Combine like terms: 9m - 29 = 88

Add 29 to both sides: 9m = 88 + 29 9m = 117

Finally, divide by 9: m = 13

Conclusion

The solution to the equation 8×(3m-2)-13=5×(12+3m)+28 is m = 13.