6-x/3=4(x+1)/7

Question

How do I solve this equation? and check the solution.

Answer 1

The equation is 6 - x/3 = 4 (x+1)/7.

Apply distributive property: a (b+c) = ab + ac.

(18 - x)/3 = (4x+4)/7

Apply cross multiplication.

7(18 - x) = 3(4x+4)

126-7x = 12x +12

Subtract 12x from each side.

126-7x -12x = 12x +12 -12x

126-19x = 12

Subtract 126 from each side.

126-19x -126 = 12 -126

-19x = -114

Divide each side by negative 19.

-19x/-19 = -114/-19

x = 6.

Check:-

To check the solution, the value of x = 6 in the original equation.

6 - 6/3 = 4 (6+1)/7

6 - 2 = 4 (7/7)

4 = 4

The above statement is true, so the value of x = 6 is a solution of the original equation.