Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$\left. \begin{array} { l } { : x + 4 x = 5 x } \\ { \cdot x = } \end{array} \right.$$

Answer

a=1

Solution


Factor out the common term \(x\).
\[x(a+4)=5x\]
Cancel \(x\) on both sides.
\[a+4=5\]
Subtract \(4\) from both sides.
\[a=5-4\]
Simplify  \(5-4\)  to  \(1\).
\[a=1\]
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