Solving Linear Equations

If $2x + 3 = 7$, what is the value of $x$?

A solution of $NaCl$ in water has a total volume of $500$ mL. If $x$ mL is added to the solution, the total volume becomes $600$ mL. What is the value of $x$?

If the equation $5x - 9 = 16$, what is the value of $x$?

A chemist needs to dilute a solution of $HCl$. If the original concentration is $12 ext{M}$ and the desired concentration is $3 ext{M}$, how many mL of water must be added to $100$ mL of the original solution?

If $3(x + 2) = 21$, what is the value of $x$?

A mixture contains $x$ grams of salt in $200$ mL of water. If $50$ grams of salt is added to the mixture, the total becomes $x + 50$. If the final concentration is $0.1g/mL$, what is the value of $x$?

In a reaction, $2A + B = C$. If $A$ is $5$ moles and $B$ is $x$ moles, how many moles of $C$ can be produced if $x = 3$?

If $7x + 4 = 5x + 16$, what is the value of $x$?

A lab requires a solution with a pH of $7$. If the current pH is $5$, how many mL of a $0.1M$ $NaOH$ solution must be added to achieve this?

A chemical reaction produces $x$ grams of product. If the total mass of reactants is $80$ grams and the mass loss is $10$ grams, what is the value of $x$?