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Solve for $x$ : $\newline$ $7x-3=9x-21$

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Create equations with no solutions or infinitely many solutions

Full solution

Q. Solve for

x

:

\newline

7x-3=9x-21

Isolate $x$ : Isolate the variable $x$ on one side of the equation. $\newline$ To do this, we can subtract $7x$ from both sides of the equation to get the $x$ terms on one side. $\newline$ $7x - 3 - 7x = 9x - 21 - 7x$ $\newline$ This simplifies to: $\newline$ $-3 = 2x - 21$
Add $21$ : Add $21$ to both sides of the equation to isolate the term with $x$ . $\newline$ $-3 + 21 = 2x - 21 + 21$ $\newline$ This simplifies to: $\newline$ $18 = 2x$
Divide by $2$ : Divide both sides of the equation by $2$ to solve for $x$ . $\frac{18}{2} = \frac{2x}{2}$ This simplifies to: $9 = x$

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