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Performing Mathematical Operations on Equation

Solve the fol...

Question

Solve the following equations
(i) 5t - 3 = 3t - 5 (ii) 2x - 1 = 14 - x
(iii) 8x + 4 = 3 (x - 1) + 7

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Solution

(i) 5t - 3 = 3t - 5
$\Rightarrow$ 5t - 3t = -5 + 3
$\Rightarrow$ 2t = -2
$\Rightarrow$ t = -1

(ii) 2x - 1 = 14 - x
$\Rightarrow$ 2x + x = 14 + 1
$\Rightarrow$ 3x = 15
$\Rightarrow$ x = 5

(iii) 8x + 4 = 3 (x - 1) + 7
$\Rightarrow$ 8x + 4 = 3x - 3 + 7
$\Rightarrow$ 8x + 4 = 3x + 4
$\Rightarrow$ 8x - 3x = 4 - 4
$\Rightarrow$ 5x = 0
$\Rightarrow$ x = 0

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