Solve Equations with Variables on Both Sides

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

It means to find the value of the variable that makes both sides of the equation equal, often requiring rearranging the equation.

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

The first step is to simplify both sides of the equation if necessary, and then move all variable terms to one side.

Combining like terms simplifies the equation, making it easier to solve for the variable.

Subtract 2x from both sides to get x + 5 = 10.

After moving the variable terms, isolate the variable by performing inverse operations on the constant terms.

x = 4.

Checking your solution ensures that the value you found satisfies the original equation.

An equation has no solution if there is no value for the variable that makes both sides equal.