Question

$$\frac { 5 ( 1 - x ) + 3 ( 1 + x ) = 8 } { 1 - 2 x }$$

Answer

(16*(4-x))/(1-2*x)

Solution


Expand.
\[8\times \frac{5-5x+3+3x}{1-2x}\]
Collect like terms.
\[8\times \frac{(5+3)+(-5x+3x)}{1-2x}\]
Simplify  \((5+3)+(-5x+3x)\)  to  \(8-2x\).
\[8\times \frac{8-2x}{1-2x}\]
Factor out the common term \(2\).
\[8\times \frac{2(4-x)}{1-2x}\]
Simplify.
\[\frac{8\times 2(4-x)}{1-2x}\]
Simplify  \(8\times 2(4-x)\)  to  \(16(4-x)\).
\[\frac{16(4-x)}{1-2x}\]