Solving Multi-Step equations
To solve the multi-step equation, we would start by trying to simplify the equation by combining the like terms and by using the distributive property whenever possible. First, we will use the distributive property to remove the parenthesis and then we can combine the like terms and the isolate the variable. In the multi-step equations, you will need to make use of the techniques used in solving the 1-step and two-step equations.
Just as with solving one-step or two-step or any equation, one goal in solving an equation is to have variables on one side of the equal sign and numbers on the other side of the equal sign. The other target is to have the number in front of variable equal to one. Always keep in mind that the variable does not always have to be x.
The strategy for getting the variable itself with the coefficient of 1 involves using opposite operations. For instance, to move something which is added to the other side of the equation, you should subtract. The most significant thing to remember in solving a linear equation is that whatever you do to 1 side of the equation, you MUST do to the other side also. So if you subtract a number from one side, you MUST subtract same value from other side.
We should 1st put the variables on the same side. Now that we have isolated variable on the left side of the equation, we can g solve the new equation using techniques of solving 1 and 2 step equations. We should 1st make sure we have the variable only on one side. It does not matter whichever side we choose. Some people prefer to move the variable to the left side while others try to make sure they don't have a negative coefficient. There is no always correct method. The most significant thing is to know how to get the variable on one side. Before we begin to use any of our equation solving skills, we should 1st simplify the equation by using the distributive property and eliminating the parentheses.
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