[tex]5x - 20 = 4x + 2[/tex]
X= a number making both expressions equivalent since the picture shows them being equal.
[tex]5x - 20 = 4x + 2[/tex]
1st : We will move the terms.
Note: (anything moved to the other side of the equal sign will change signs)
[tex]5x - 4x = 2 + 20[/tex]
2nd : Calculate,
[tex]1x = 22[/tex]
1x = x
Meaning 1x and x are the same meaning,
[tex]x = 22[/tex]
Now, we must calculate with x being 22...
[tex]5 (22) - 20[/tex]
Solve by multiplying first then subtracting,
[tex]110 - 20 = 90[/tex]
This means 5x - 20 = 90 and if the two expressions were equivalent then 4x + 2 should also equal 90 yet let's check...
[tex]4(22) + 2[/tex]
Solve by multiplying first then subtracting,
[tex]88 + 2 = 90[/tex]
[tex]90 = 90[/tex]
So both expressions equal 90.
Finally, let's calculate 2x + 6 with 22 as x,
[tex]2(22) + 6[/tex]
Solve by multiplying first then subtracting,
[tex]44 + 6 = 50[/tex]
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Answer : x = 22
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I hope that helps you out!!
Any more questions, please just ask me!!
~ Zoey
