Example

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

Question

$$\frac{ x-3 }{ 5 } + \frac{ 4x-7 }{ 5 }$$

Answer

x-2

Solution


Join the denominators.
\[\frac{x-3+4x-7}{5}\]
Collect like terms.
\[\frac{(x+4x)+(-3-7)}{5}\]
Simplify  \((x+4x)+(-3-7)\)  to  \(5x-10\).
\[\frac{5x-10}{5}\]
Factor out the common term \(5\).
\[\frac{5(x-2)}{5}\]
Cancel \(5\).
\[x-2\]
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