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x-2=-3x+2 pls show how to fully solve it

Sagot :

Answer:

x = 1

Step-by-step explanation:

One thing that is necessary to learn this is that whatever you do to one side, you must do to the other. If you substract 2, you must substract 2 from both sides.  

Here are all the steps:

x - 2 = -3x + 2

x = -3x + 4 (by adding 2 to both sides)

4x = 4 (by adding 3x to both sides)

x = 1 (by dividing both sides by 4)

Hope this helps!

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

Add [tex]2[/tex] to both sides of the equation:

[tex]x-2=-3x+2[/tex]

[tex]x-2+2=-3x+2+2[/tex]

Simplify:

  • Add the numbers:

[tex]x[/tex][tex]-2+2=-3x+2+2[/tex]

[tex]x=-3x+2+2[/tex]

  • Add the numbers:

[tex]x=-3x+2+2[/tex]

[tex]x=-3x+4[/tex]

[tex]x=-3x+4[/tex]

Add [tex]3x[/tex] to both sides of the equation:

[tex]x=-3x+4[/tex]

[tex]x+3x=-3x+4+3x[/tex]

Simplify:

  • Combine like terms:

[tex]x+3x=-3x+4+3x[/tex]

[tex]4x=-3x+4+3x[/tex]

  • Combine like terms:

[tex]4x=-3x+4+3x[/tex]

[tex]4x=4[/tex]

[tex]4x=4[/tex]

Divide both sides of the equation by the same term:

[tex]4x=4[/tex]

[tex]\frac{4x}{4} =\frac{4}{4}[/tex]

Simplify:

  • Cancel terms that are in both the numerator and denominator:

[tex]\frac{4x}{4} =\frac{4}{4}[/tex]

[tex]x=\frac{4}{4}[/tex]

  • Divide the numbers:

[tex]x=\frac{4}{4}[/tex]

[tex]x=1[/tex]

[tex]x=1[/tex]