Question 273083: Please help me solve this equation: 3( t + 2) +t = 2 (3 + 2t )
Answer by persian52(161)   (Show Source):
You can put this solution on YOUR website! Of course i ll solve it for you!
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3(t+2)+t=2(3+2t)
Reorder the polynomial 3+2t alphabetically from left to right, starting with the highest order term.
3(t+2)+t=2(2t+3)
Multiply 2 by each term inside the parentheses.
3(t+2)+t=(4t+6)
Remove the parentheses around the expression 4t+6.
3(t+2)+t=4t+6
Multiply 3 by each term inside the parentheses.
(3t+6)+t=4t+6
Since 3t and t are like terms, add t to 3t to get 4t.
4t+6=4t+6
Since 4t contains the variable to solve for, move it to the left-hand side of the equation by subtracting 4t from both sides.
4t+6-4t=6
Since 4t and -4t are like terms, add -4t to 4t to get 0.
0+6=6
Remove the 0 from the polynomial; adding or subtracting 0 does not change the value of the expression.
6=6
Since 6=6, the equation will always be true.
Answer: Always True
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Glad to help!
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