Equivalent Equations Practice - 1

An equivalent equation is an equation that has the same solution as another equation. For example, if $$2x + 4 = 8$$ , then $$x + 2 = 4$$ is an equivalent equation.

$$-6$$ .

$$36$$ .

$$2x + 3 = 4$$ .

$$6$$ .

Subtract 4 from both sides to get $$2x = -1$$ , then divide by 2 to find $$x = -\frac{1}{2}$$ .

Factor out the greatest common factor, which is 12, to get $$12(3x + 2)$$ .

Subtract 9 from both sides to isolate the term with x.

$$x = 5$$ .

To isolate a variable means to manipulate the equation so that the variable is on one side by itself, making it easier to solve.