Question

Solve the following (1 to 9) linear equations
6) 1/2(x+5)-1/3(x-2)=4​

Answer 1

1/2 ( x + 5 ) - 1/3 ( x - 2 ) = 4

Opening the brackets,

x/2 + 5/2 - x/3 + 2/3 = 4

x/2 - x/3 + 5/2 + 2/3 = 4

3x/6 - 2x/6 + 15/6 + 4/6 = 4

x/6 + 19/6 = 4

( x + 19 ) / 6 = 4

Transposing 6 to RHS,

x + 19 = 4 × 6

x + 19 = 24

Transposing + 19 to RHS,

x = 24 - 19

x = 5

Ans. x = 5