
We discuss solving equations.

An equation is a statement expressing the equality between two quantities. This means that an equation will always have a single equals sign.

Usually, when dealing with an equation, we will be looking for values that make the equation true. A solution to an equation is a value that, when substituted in for the variables, yield a true number statement.

When we are asked to solve an equation, we are being asked to find all solutions. Exactly how to do that depends on the particular equation involved.

A linear equation in $x$ is an equation which is equivalent to one with the form $a x + b = 0$, where $a$ and $b$ are constants, with $a \neq 0$.

To solve a linear equation, we isolate the $x$-term and divide by the coefficient.

Solve the linear equation $\displaystyle \dfrac {4}{5}\left (x+2\right ) - 3 = \dfrac {x-1}{2}$.
It may be easier to clear fractions first.
x = $\answer {3}$.