The solution of the given linear equation in one variable t - 2(3 - 2t) = 2t + 9 is at t = 5.
According to the given question.
We have a linear equation in one variable.
t -2(3-2t) = 2t + 9
As we know that, the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.
Thereofre, the solution of the linear equation in one variable t -2(3-2t) = 2t + 9 is given by
t - 2(3 - 2t) = 2t + 9
⇒ t - 6 + 4t = 2t + 9 (by distributive rule)
⇒ 5t - 6 = 2t + 9
⇒ 5t - 2t = 9 + 6
⇒ 3t = 15
⇒ t = 15/3
⇒ t = 5
Hece, the solution of the given linear equation in one variable t - 2(3 - 2t) = 2t + 9 is at t = 5.
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