# SOLUTION: What does it mean to solve a linear equation in one variable, the objective is to isolate the variable on one side of the equation.

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 Question 181549: What does it mean to solve a linear equation in one variable, the objective is to isolate the variable on one side of the equation.Answer by Mathtut(3670)   (Show Source): You can put this solution on YOUR website!this means that there is only 1 variable present and the goal is to isolate the variable on one side of the equation to find its value. : for instance: 3a+15=4(a-5) : now in order to find a's value, you want to isolate it on one side and want the constant(fixed values) on the other : 3a+15=2(a-5) : first thing we do is distribute the right side : 3a+15=2a-10 : now we need to subtract 2a from both sides to get a's on one side : 3a-2a+15=2a-2a-10....as you can see on the right the 2a's cancel each other and 3a-2a=a......so we are left with : a+15=-10.......now we need to get the constants all on the right : a=-15-10......we subtracted 15 from both sides of the equation : we combined the constant terms : now if you plug -25 back into the equation it should make it a true statement : 3(-25)+15=2(-25)-10 : -75+15=-50-10 : -60=-60.......check we got the correct answer