# How do you solve #(x-3) /4 + x/2 =3#?

##### 2 Answers

#### Answer:

#### Explanation:

First, we remove the fractions by multiplying the equation by the LCM of

LCM of

Multiply the equation by

This means, the expression on the left side of the = sign will be multiplied by

Next, add

Finally, divide both sides by

You can check your answer by putting back the value

Solving the left side:

#### Answer:

x = 5

#### Explanation:

To eliminate the fractions in this equation

#color(blue)"multiply all terms on both sides"# by the L.C.M. (lowest common multiple) of 2 and 4 which is 4.

#rArr[cancel(4)^1 xx(x-3)/cancel(4)^1]+[cancel(4)^2xxx/cancel(2)^1]=4xx3# The equation now simplifies to

x - 3 + 2x = 12

hence : 3x - 3 =12

and 3x = 15

divide both sides by 3

#(cancel(3)^1 x)/cancel(3)^1 =15/3#

#rArrx=5" is the solution"#