Question

3(5x+2)=2(3x-6) help i need to show work and I have no idea how to do this

Answer 1

Answer: its −2

Step-by-step explanation:

3*(5*x+2)-(2*(3*x-6))=0  

Step by step solution :

STEP

1

:

STEP

2

:

Pulling out like terms

2.1     Pull out like factors :

  3x - 6  =   3 • (x - 2)  

Equation at the end of step

2

:

 (3 • (5x + 2)) -  6 • (x - 2)  = 0  

STEP

3

:

Equation at the end of step 3

 3 • (5x + 2) -  6 • (x - 2)  = 0  

STEP

4

:

STEP

5

:

Pulling out like terms

5.1     Pull out like factors :

  9x + 18  =   9 • (x + 2)  

Equation at the end of step

5

:

 9 • (x + 2)  = 0  

STEP

6

:

Equations which are never true

6.1      Solve :    9   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

6.2      Solve  :    x+2 = 0  

Subtract  2  from both sides of the equation :  

                     x = -2

One solution was found :

x = -2

Answer 2

The answer is -2. Below are the steps.