Question

Solve for x: 4x(3y-2)=7x+11

Answer 1

Answer:

x=11(12y-15)

Step-by-step explanation:

4x(3y-2)=7x+11

12xy-8x=7x+11

12xy-8x-7x=11

12xy-15x=11

x(12y-15)=11

x(12y-15)/(12y-15)=11/(12y-15)

x=11/(12y-15)

Answer 2

Answer: $x=\frac{11}{12y-15}$

Step-by-step explanation:

To solve for x, we want to isolate the variable.

$4x(3y-2)=7x+11$      [distribute]

$12xy-8x=7x+11$       [subtract both sides by 7x]

$12xy-8x-7x=11$       [combine like terms]

$12xy-15x=11$             [factor out x]

$x(12y-15)=11$             [divide both sides by 12y-15]

$x=\frac{11}{12y-15}$

Now, we know that $x=\frac{11}{12y-15}$.