How do you solve 2t - 2 = 19 - t?

2 Answers
Nam D.
Jul 2, 2018

t=7

Explanation:

Given: 2t-2=19-t.

Add t to both sides.

2t+t-2=19-color(red)cancelcolor(black)t+color(red)cancelcolor(black)t

Add like-terms.

3t-2=19

Add 2 to both sides.

3t-color(red)cancelcolor(black)2+color(red)cancelcolor(black)2=19+2

3t=21

Divide by 3 to isolate t.

(color(red)cancelcolor(black)3t)/(color(red)cancelcolor(black)3)=21/3

t=7

marfre
Jul 2, 2018

t = 7

Explanation:

Given: 2t - 2 = 19 - t

Add t to both sides:

t + 2t - 2 = 19 - t + t

3t - 2 = 19

Add 2 to both sides:

2 + 3t - 2 = 19 + 2

3t = 21

Divide both sides by 3:

t = 21/3 = 7

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