Answer
$x=\dfrac{7}{6}$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To solve the given equation, $
2x-5+3x=4-(x+2)
,$ combine like terms. Then use the properties of equality to isolate the variable.
$\bf{\text{Solution Details:}}$
Using the Distributive Property which is given by $a(b+c)=ab+ac,$ the expression above is equivalent to
\begin{array}{l}\require{cancel}
2x-5+3x=4-1(x+2)
\\\\
2x-5+3x=4-1(x)-1(2)
\\\\
2x-5+3x=4-x-2
.\end{array}
Using the properties of equality to combine like terms, the equation above is equivalent to
\begin{array}{l}\require{cancel}
2x+3x+x=4-2+5
\\\\
6x=7
\\\\
x=\dfrac{7}{6}
.\end{array}