How do you solve multi step equations with variables on one side?

Question

Eli Assouline · Accepted Answer

Do the order of operations backwards

The reverse order of operations is PESADM. Deleting parenthesis and exponents (PE) is the first step in solving multistep problems. Next, move all positive and negative terms that do not have a variable to the other side of the equation by doing the opposite. (SA) Once all the terms without a variable have been moved, remove the coefficients by multiplying or dividing the value of the coefficient that is in front of the variable (DM). Finally, if the variable has a negative sign in front of it, remove it by multiplexing or dividing both sides by -1.

Ethan Adkins · Answer

undefined To solve multi-step equations with variables on one side, follow these steps:

1. Simplify each side of the equation by combining like terms.
2. Use inverse operations to isolate the variable term on one side of the equation.
3. Perform the same operation to both sides of the equation to maintain balance.
4. Continue simplifying until you isolate the variable.

5. Once the variable is isolated, check your solution by substituting it back into the original equation to ensure it satisfies the equation.