3(x−2)+5x=26 what is the justification for every step

(I think it is x=4)

x=4, x=2, or x=10

Step-by-step explanation:

Simplifying

3x + 2(5x) = 26

Remove parenthesis around (5x)

3x + 2 * 5x = 26

Multiply 2 * 5

3x + 10x = 26

Combine like terms: 3x + 10x = 13x

13x = 26

Solving

13x = 26

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '13'.

x = 2

Simplifying

x = 2

Equation at the end of step 1

 3 • (x - 2) -  (5x - 26)  = 0  

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  20 - 2x  =   -2 • (x - 10)  

Equation at the end of step

3

:

 -2 • (x - 10)  = 0  

STEP

4

:

Equations which are never true

4.1      Solve :    -2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

4.2      Solve  :    x-10 = 0  

Add  10  to both sides of the equation :  

                     x = 10

One solution was found :

x = 10

(3x-3*2)+5x=26

(3x-6)+5x=26

3x-6+5x=26

3x+5x-6=26

8x-6=26

(8x-6)+6=26+6

8x-6+6=32

8x=32

8x/8=32/8

x=2^5/2^3

x=2^5-3

x=2^2

x=4

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

i believe that the answer is

b. y-1=-2(x-4)

hope this !