## Elementary Algebra

$x=-53$
We first use the distributive property to simplify. Then, using the properties of equality, we obtain that the value of the variable that satisfies the given equation, $4(x-2)=5(x+9) ,$ is \begin{array}{l}\require{cancel} 4x-8=5x+45 \\\\ 4x-5x=45+8 \\\\ -x=53 \\\\ x=-53 .\end{array}