How do you solve \frac { x + 2} { 3} = \frac { 4x + 1} { 11}?

1 Answer
May 28, 2017

x=19

Explanation:

First, simplify the equation by cross multiplying:

(x+2)/3=(4x+1)/11

(4x+1)*3=(x+2)*11

Or if you prefer the long way:

(x+2)/3=(4x+1)/11

(x+2)/cancel(3)*cancel(3)=(4x+1)/11*3
(x+2)*11=(4x+1)/cancel(11)*3*cancel(11)
(4x+1)*3=(x+2)*11

Then, distribute the coefficients:

(4x+1)*3=(x+2)*11

12x+3=11x+22

x=22-3=19

x=19