Question

$$\left. \begin{array} { l } { x + 7 - \frac { 8 x } { 3 } } \\ { = \frac { 17 } { 6 } - \frac { 5 x } { 2 } } \end{array} \right.$$

Answer

x=126/5

Solution


Remove parentheses.
\[7-83=176-5x\times 2\]
Simplify  \(5x\times 2\)  to  \(10x\).
\[7-83=176-10x\]
Simplify  \(7-83\)  to  \(-76\).
\[-76=176-10x\]
Subtract \(176\) from both sides.
\[-76-176=-10x\]
Simplify  \(-76-176\)  to  \(-252\).
\[-252=-10x\]
Divide both sides by \(-10\).
\[\frac{-252}{-10}=x\]
Two negatives make a positive.
\[\frac{252}{10}=x\]
Simplify  \(\frac{252}{10}\)  to  \(\frac{126}{5}\).
\[\frac{126}{5}=x\]
Switch sides.
\[x=\frac{126}{5}\]

Decimal Form: 25.2