Respuesta :

kierstanedwards

Answer:

x = -4

Explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

renknee

Answer:

x = -4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

  • [tex](-2)(3x)+(-2)(-4)-x-3=33[/tex]
  • [tex]-6x +8 - x - 3 = 33[/tex]
  • [tex](-6x-x)+(8-3)=33[/tex]
  • [tex]-7x + 5 = 33[/tex]  

Step 2: Subtract 5 from both sides.

  • [tex]-7x + 5 - 5 = 33 - 5[/tex]
  • [tex]-7x = 28[/tex]

Step 3: Divide both sides by -7.

  • [tex]\frac{-7x}{-7} =\frac{28}{-7}[/tex]
  • [tex]x = -4[/tex]

Step 4: Check if solution is correct.

  • [tex]-2(3(-4)-4)- (-4)-3=33[/tex]
  • [tex]-2(-12-4)+4-3=33[/tex]
  • [tex](-2)(-12)+(-2)(-4)+4-3=33[/tex]
  • [tex]24 + 8 + 4 - 3 = 33[/tex]
  • [tex]32 + 4 - 3 = 33[/tex]
  • [tex]36 - 3 = 33[/tex]
  • [tex]33 = 33[/tex]

Therefore, x = -4.