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

2 Answers

3 votes

Answer:


x=1

Explanation:

Add
2 to both sides of the equation:


x-2=-3x+2


x-2+2=-3x+2+2

Simplify:

  • Add the numbers:


x
-2+2=-3x+2+2


x=-3x+2+2

  • Add the numbers:


x=-3x+2+2


x=-3x+4


x=-3x+4

Add
3x to both sides of the equation:


x=-3x+4


x+3x=-3x+4+3x

Simplify:

  • Combine like terms:


x+3x=-3x+4+3x


4x=-3x+4+3x

  • Combine like terms:


4x=-3x+4+3x


4x=4


4x=4

Divide both sides of the equation by the same term:


4x=4


(4x)/(4) =(4)/(4)

Simplify:

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


(4x)/(4) =(4)/(4)


x=(4)/(4)

  • Divide the numbers:


x=(4)/(4)


x=1


x=1

User Tikall
by
3.4k points
14 votes

Answer:

x = 1

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!

User Mjhasbach
by
3.3k points