1) 6x -3 = 63
Or, 6x = 63+3 (Taking the constant 3 to the other side of the equation, and thus changing the sign.)
Or, 6x = 66
Or, x = 66/6 = 11

Check: Putting x= 11, in 6x -3 = 63, L.H.S. = 6 *11 - 3 = 66-3 = 63 = R.H.S.
Since, L.H.S. = R.H.S., therefore the answer is correct.

2) 5x - ( 2x - 10) = 35
Or, 5x -2x +10 = 35 (Removing the bracket)
Or, 5x – 2x = 35 – 10 (Taking the variables to one side and constants to the other side of the equation)
Or, 3x = 25
Or, x = 25/3

This solution is comprised of a detailed step-by-step calculation of the given Linear Equations. This solution provides students with a clear perspective of solving linear equations in Algebra.

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