Question

При каких значениях x значения выражений -3(2x+5) и 6(3x-4) равны?

Answer 1

-3(2х+5)=6(3х-4)
-6х-15=18х-24
-24х=-9
х=$\frac{9}{24} x= \frac{3}{8}$

Answer 2

Finding the Values of x for the Given Expressions

To find the values of x for which the expressions -3(2x+5) and 6(3x-4) are equal, we can set the two expressions equal to each other and solve for x.

Step 1: Set the two expressions equal to each other: -3(2x+5) = 6(3x-4)

Step 2: Solve for x: -3(2x+5) = 6(3x-4) -6x - 15 = 18x - 24 -15 + 24 = 18x + 6x 9 = 24x x = 9/24 x = 3/8

Step 3: Verify the solution: Let's verify the solution by substituting x = 3/8 into the original expressions and checking if they are equal.

Substituting x = 3/8 into -3(2x+5): -3(2(3/8)+5) = -3(3/4+5) = -3(3/4+20/4) = -3(23/4) = -69/4

Substituting x = 3/8 into 6(3x-4): 6(3(3/8)-4) = 6(9/8-4) = 6(9/8-32/8) = 6(-23/8) = -69/4

Conclusion: The values of x for which the expressions -3(2x+5) and 6(3x-4) are equal are x = 3/8.