2(3x+1)=4x+5(x-2) What is the answer to this question it is every confusing and I don’t get how I am supposed to answer it

x=4

Step-by-step explanation:

2(3x+1)=4x+5(x-2)

distribute 2 through the parentheses:

6x+2=4x+5(x-2)

distribute the 5 through the parentheses:

6x+2=4x+5x-10

Collect like terms:

6x+2=9x-10

Move the variable to the left-hand side and change its sign:

6x-9x=2=-10

Move the constant to the right-hand side and change its sign:

6x-9x=-10-2

Collect like terms:

-3x=-10-2

-3x=-12

Divide -3 on both sides to get x alone:

x=4

Hope this helped!! :)

your answer is d 2,500

step-by-step explanation:

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.