Solve the equation:1/2x-5+2/3x=7/6+4

Step-by-step explanation:

=1/2x - 5 + 2/3x = 7/6 + 4

(1/2 and 2/3 are like terms so we can add them. Next we have to find the lcm)

= lcm is 6 so now we make the denominators same and add them up

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

= 7/6x - 5 = 7/6 + 4

Now we do the same to the other side - find lcm and add them

= 7/6x - 5 = 14+48 / 12

= 7/6x - 5 = 62/12

Now we bring 5 from the left to the right

= 7/6x = 62/12 + 5

Now we find the lcm again and add them

= 7/6x = 62+60/12

= 7/6x = 122/12

Now we bring the number in the lhs to rhs

= x = 122/12 divided by. 6/7

= x = 122/12 multiplied by 7/6

= x = 11.86