Question

2x-5/5 -x+4/7 +4-x/6 = 10-x/3

Answer 1

I guess your question is:

( 2 x - 5 ) / 5 - ( x + 4 ) / 7 + ( 4 - x ) / 6 = ( 10 - x ) / 3

If so then:

Least common multiplier of 5, 7, 6, 3 =

Least common multiplier of 5 , 7 , 2 ∙ 3 , 3

LCD = 5 ∙ 7 ∙ 2 ∙ 3 = 210

( 2 x - 5 ) ∙ 210 / 5 - ( x + 4 ) ∙ 210 / 7 + ( 4 - x ) ∙ 210 / 6 = ( 10 - x ) ∙ 210 / 3

42 ∙ ( 2 x - 5 ) - 30 ∙ ( x + 4 ) + 35 ∙ ( 4 - x ) = 70 ∙ ( 10 - x )

84 x - 210 - 30 x - 120 + 140 - 35 x = 700 - 70 x

19 x - 190 = - 70 x + 700

Add 70 x to both sides

19 x - 190 + 70 x = - 70 x + 700 + 70 x

89 x - 190 = 700

Add 190 to both sides

89 x - 190 + 190 = 700 + 190

89 x = 890

Divide both sides by 89

x = 890 / 89

x = 10