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

step-by-step explanation:

answers available in this download

(pearson%2c%25202012)%2520bbs.pdf& usg=aovvaw1obmtxnfghfgxhx0urh_je