Respuesta :

Answer:

Equation have Unique solution i.e [tex]x=-20[/tex]

Step-by-step explanation:

Given Equation:

[tex]-6(x+7)=-4x-2[/tex]

Solving the Equation for 'x'.

           [tex]-6(x)-6(7)=-4x-2\\\\-6x-42=-4x-2[/tex]

Adding '[tex]4x[/tex]'  both sides:

             [tex]-6x+4x-42=-4x+4x-2\\\\-6x+4x-42=-2\\\\-2x-42=-2[/tex]

Adding '42' both sides:

               [tex]-2x-42+42=-2+42\\\\-2x=40[/tex]

                        [tex]x=\frac{40}{-2} \\\\x=-20[/tex]

The equation have Unique solution with the value of [tex]x=-20[/tex]