Question

$$\frac{x}{10}+\frac{x}{2}+\frac{2x}{4}=5x+\hat{z}$$

Answer

a=(15*x)/(h*t*z)

Solution


Regroup terms.
\[10x+x\times 2+2x\times 4=5x+hatz\]
Regroup terms.
\[10x+2x+2x\times 4=5x+hatz\]
Simplify  \(2x\times 4\)  to  \(8x\).
\[10x+2x+8x=5x+hatz\]
Simplify  \(10x+2x+8x\)  to  \(20x\).
\[20x=5x+hatz\]
Subtract \(5x\) from both sides.
\[20x-5x=hatz\]
Simplify  \(20x-5x\)  to  \(15x\).
\[15x=hatz\]
Divide both sides by \(h\).
\[\frac{15x}{h}=atz\]
Divide both sides by \(t\).
\[\frac{\frac{15x}{h}}{t}=az\]
Simplify  \(\frac{\frac{15x}{h}}{t}\)  to  \(\frac{15x}{ht}\).
\[\frac{15x}{ht}=az\]
Divide both sides by \(z\).
\[\frac{\frac{15x}{ht}}{z}=a\]
Simplify  \(\frac{\frac{15x}{ht}}{z}\)  to  \(\frac{15x}{htz}\).
\[\frac{15x}{htz}=a\]
Switch sides.
\[a=\frac{15x}{htz}\]