$$1 = x + 2\cdot x$$
How can I simplify this formula for $x$.
$$1 = x + 2\cdot x$$
How can I simplify this formula for $x$.
On
$$1 = x + 2 \cdot x$$ This can be simplified to: $$1 = x + 2x$$ Remember that you can combine these terms by adding the coefficients (the numbers attached to the $x$'s). $$1 = 1x + 2x$$ $$1 = 3x$$ Now we have to isolate $x$. Divide both sides by 3. $$\frac{1}{3} = \frac{3x}{3}$$ $$\frac{1}{3} = x$$ I hope this post helped!
By equivalent transform of terms/equations: $$\begin{align} 1&=x+2x \\ 1&=1\cdot x+2\cdot x \\ 1&=(1+2)\cdot x \\ 1&=3\cdot x \\ 1/3&=x \end{align}$$ In the last step we have divided by $3$ both sides of the equations. In the previous steps we used the unit and distributive properties:
$1\cdot x=x$ and $(a+b)\cdot x=a\cdot x+b\cdot x$.