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Solve the following linear equation. x + 7 - 8x/3 = 17/6 - 5x/2

Solve the following linear equations.

Q.3   

                 x+7 -\frac{8x}{3} = \frac{17}{6}- \frac{5x}{2}

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We have 

                        x+7 -\frac{8x}{3} = \frac{17}{6}- \frac{5x}{2}

Multiplying both sides by 6, we get

                    6x + 42 - 16x  =  17 - 15x 

or                     -10x +42 = 17 - 15x

Transposing -15x to the LHS and 42 to the RHS :

                       -10x + 15x = 17 - 42

or                          5x = -25

or                             x = -5

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