Solving linear equationsCollect the variableterms on one side.Isolate the variable? Check in the originalequation.#2 Solve...

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Solving linear equationsCollect the variableterms on one side.Isolate the variable? Check in the originalequation.#2 Solve each equation for x.a) 2x - 5= 7-3(x + 1)Example:Solve 2 - 3(t - 2) = 5tRemoving the parentheses:Combine like terms:Collect all variable terms on one side:Isolate the variable:SimplifyCheck:b) 2x + y = 32-3t+ 6 = 5t-3t+8 = 5t-3t-5t = -8-8t = -8-8t-8-8? t = 12-3(1-2) = 5(1)2-3(-1) = 5-82 + 3 = 5 truec) x-1= 5

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Solving linear equationsCollect the variableterms on one side.Isolate the variable? Check in the originalequation.#2 Solve each equation for x.a) 2x - 5= 7-3(x + 1)Example:Solve 2 - 3(t - 2) = 5tRemoving the parentheses:Combine like terms:Collect all variable terms on one side:Isolate the variable:SimplifyCheck:b) 2x + y = 32-3t+ 6 = 5t-3t+8 = 5t-3t-5t = -8-8t = -8-8t-8-8? t = 12-3(1-2) = 5(1)2-3(-1) = 5-82 + 3 = 5 truec) x-1= 5

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