Solve the following equation by combining like terms:
x +x +2 +3x- 6 = 31

x=7

Step-by-step explanation:

We want to get the variable "x" alone to get our answer. So.

1. combine like terms

x+x+2+3x-6=31

like terms in equation: (left side)

x, x, 3x= 5x       (equation: x+x+3x)

2, -6= -4             (equation: 2-6)

so, this is what the equation would look like with our new answers:

5x-4=31

2. add 4 to both sides

5x-4+4=31+4

(on left side of equation, the -4 and +4 cancel each other out, leaving the 5x alone)

5x=35

3. divide 5 from both sides, to get the "x" alone

5x/5=35/5

so, our answer would be:

x=7

I hope this was helpful :)

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc

look at photo