Chapter 6 - Algebra: Equations and Inequalities - Chapter 6 Test - Page 405: 5

The solution of the given equation does not exists.

Consider the equation\[3\left( x-4 \right)+x=2\left( 6+2x \right)\]. Apply the distributive law as follows: \[3x-12+x=12+4x\] Or, \[4x-12=12+4x\] Subtract \[4x\]from both sides to get, \[-12=12\] This is false. So the given equation has no solution. Hence, the solution of the given equation does not exist.