Solve the following equation:
15 (x – 1) + 4 (x + 3) = 2 (7 + x)
Given equation: 15 (x – 1) + 4 (x + 3) = 2 (7 + x)
⇒ 15x – 15 + 4x + 12 = 14 + 2x (Removing brackets)
15x + 4x – 15 + 12 = 14 + 2x
19x – 3 = 14 + 2x
⇒ 19x – 2x = 14 + 3 (Transposing 2x to LHS and 3 to RHS)
17x = 17
⇒ x =
(Transposing 17 to RHS)
x = 1
∴ The solution of 15 (x – 1) + 4 (x + 3) = 2 (7 + x) is
x = 1.
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