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Question:

Solve linear equation: x + 7 - 8x/3 = 176 - 5x/2

Solution:

Transpose 5x/2 to LHS and 7 to RHS
We get, x + 5x/2 - 8x/3 = 176 - 7
LHS: x + 5x/2 - 8x/3
LCM of 2 and 6 ⇒ 6
LHS ⇒ x + 5x/2 - 8x/3 ⇒ 6x + 15x - 16x / 6 ⇒ 5x/6. (1)
RHS: 176 - 7 ⇒ 169. (2)
LHS = RHS (equate (1) and (2))
5x/6 = 169
x = 169 * 6 / 5