Solving Linear Equations

Equations are fundamental to Algebra, and solving linear equations is necessary for students in order to learn how to solve two-step equations, and other multi-step equations. Solving linear equations means finding the value for the variable that makes the statement true using additive and multiplicative inverses.

Okay, solving Linear Equations. So solving linear equations is an equation where we basically are solving for a single variable in this case we're going to be talking about x. And so what we really want to do is get that variable by itself just using laws of Math, so properties, addition, subtraction all that good staff.

How I intend to do these problems is simplify each side independently. So here we have a couple of x's throw those together so +2x-8x will leave us with a -6x and we didn't touch the other side so that stays the same, okay. We then want to isolate our variable, so what that means is get all the x's together on one side. We can either bring them to either side it works either way in general I prefer to keep my x's positive so I would add this 6x over you could just as easily subtract that 12 everything works out as well. So you add 6x and -6 will stay there, add 6 to the 12 that will give us 18 and our -4 stays there as well okay. Again trying to get our x by itself so add the 4 over. Add for the both sides add 4, -6+4, -2=18x and to get the x by itself lastly we just divide. Divide by 18, -2 over 18 can be simplified to -1 over 9, and there you go we have solved the simple linear equation.