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

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 Link

150011133 150011133 · Answer 2 · 2021-02-03T15:33:16+01:00

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]

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]

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]