Question

$$\left. \begin{array} { l } { 28 x + 2 = 18 x - 7 } \\ { 48 x + 18 x = 2 - 7 } \end{array} \right.$$

Answer

x=8/13

Solution


Simplify  \(18x\times 2\)  to  \(36x\).
\[28x+2=18x-7+36x-7\]
Simplify  \(18x-7+36x-7\)  to  \(54x-14\).
\[28x+2=54x-14\]
Subtract \(28x\) from both sides.
\[2=54x-14-28x\]
Simplify  \(54x-14-28x\)  to  \(26x-14\).
\[2=26x-14\]
Add \(14\) to both sides.
\[2+14=26x\]
Simplify  \(2+14\)  to  \(16\).
\[16=26x\]
Divide both sides by \(26\).
\[\frac{16}{26}=x\]
Simplify  \(\frac{16}{26}\)  to  \(\frac{8}{13}\).
\[\frac{8}{13}=x\]
Switch sides.
\[x=\frac{8}{13}\]

Decimal Form: 0.615385