Solving Equations with variables on both sides

The first step is to isolate the variable by moving all terms containing the variable to one side of the equation and constant terms to the other side.

You combine like terms by adding or subtracting the coefficients of the same variable or constant terms.

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the opposite side.

The solution is x = -3.

You substitute the solution back into the original equation to see if both sides are equal.

First, add 5k to both sides to get 10 = 3k - 14, then add 14 to both sides to get 24 = 3k, and finally divide by 3 to find k = 8.

It indicates that the equation may have multiple solutions or require careful manipulation to isolate the variable.

The solution is x = -7.

This indicates that there is no solution to the equation.

This indicates that there are infinitely many solutions to the equation.