## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$x=0$
By combining like terms and by using the properties of equality, the solution to the given equation, $6x+3=2x+3$, is \begin{array}{l}\require{cancel} 6x-2x=+3-3 \\\\ 4x=0 \\\\ x=\dfrac{0}{4} \\\\ x=0 .\end{array} Checking: \begin{array}{l}\require{cancel} 6(0)+3=2(0)+3 \\\\ 3=3 \text{ (TRUE)} .\end{array} Hence, $x=0$.