Question

$$x - \frac { 2 x - 2 \cdot 3 } { 0 \cdot 7 } + \frac { x - 5 } { 0.35 } = 0$$

Answer

x=5.4999999999997

Solution


Simplify  \(2x-\frac{2x-2.3}{0.7}+\frac{x-5}{0.35}\)  to  \(2x-1.428571(2x-2.3)+2.857143(x-5)\).
\[2x-1.428571(2x-2.3)+2.857143(x-5)=0\]
Expand.
\[2x-2.857143x+3.285714+2.857143x-14.285714=0\]
Simplify  \(2x-2.857143x+3.285714+2.857143x-14.285714\)  to  \(2x-11\).
\[2x-11=0\]
Add \(11\) to both sides.
\[2x=11\]
Divide both sides by \(2\).
\[x=\frac{11}{2}\]
Simplify  \(\frac{11}{2}\)  to  \(5.5\).
\[x=5.5\]