Respuesta :

LammettHash
[tex]-5-x=2x-(4x+6)[/tex]

Using the distributive property is the correct first step. [tex](4x+6)[/tex] is being multiplied by -1, so distributing gives

[tex]-5-x=2x+(-4x-6)[/tex]
[tex]-5-x=2x+((-4x)+(-6))[/tex]

Now, using the associative property of addition, you get

[tex]-5-x=(2x+(-4x))+(-6)[/tex]
[tex]-5-x=(2x-4x)-6[/tex]

Simplify the right hand side:

[tex]-5-x=-2x-6[/tex]

Add 5 and [tex]2x[/tex] to both sides.

[tex](2x+5)-5-x=(2x+5)-2x-6[/tex]

On the left side, use the associative property. On the right, commutativity and associativity:

[tex]2x+(5-5)-x=5+(2x-2x)-6[/tex]

Simplify.

[tex]2x-x=-1[/tex]
[tex]x=-1[/tex]

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