Answer:
x = -1
Step-by-step explanation:
We can subtract the right side of the equation to get ...
[tex]\dfrac{3}{4}x+3-2x-\left(-\dfrac{1}{4}+\dfrac{1}{2}x+5\right)=0\\\\x\left(\dfrac{3}{4}-2-\dfrac{1}{2}\right)+\left(3+\dfrac{1}{4}-5\right)=0\quad\text{collect terms}\\\\-\dfrac{7}{4}x-\dfrac{7}{4}=0\quad\text{simplify}\\\\x+1=0\quad\text{multiply by $-\frac{4}{7}$}\\\\x=-1[/tex]
Checking by subsitution, we have ...
... (3/4)(-1) +3 -2(-1) = -1/4 +(1/2)(-1) +5
... -3/4 +3 +2 = -1/4 -1/2 +5
... 4 1/4 = 4 1/4 . . . . . answer checks OK
