Question 62367: i dont know how to solve an equation with two variabals on both sides
ex: 10x +14 = 5x +24 Found 3 solutions by joyofmath, Earlsdon, sergio01:Answer by joyofmath(189) (Show Source):
You can put this solution on YOUR website! 10x +14 = 5x +24
You want to combine the x's and the constants.
You have 10x on the left side of the = sign and 5x on the right side.
If you subtract 5x from both sides you'll have .
Likewise, you can subtract 14 from both sides of the equation.
Then, .
Finally, divide both sides by 5 to get x by itself. Then, .
To verify that 2 is the correct answer plug 2 into the original equation.
Then, and .
You can put this solution on YOUR website! The idea is to get the variables onto one side of the equation.
10x + 14 = 5x + 24 Subtract 5x from both sides of the equation.
10x - 5x + 14 = 5x - 5x + 24 Simplifying this, you get:
5x + 14 = 24 Now subtract 14 from both sides.
5x = 10 Finally, divide both sides by 5.
x = 2
Check:
Substitute the solution, x = 2 into the original equation:
10(2) + 14 = 5(2) + 24
20 + 14 = 10 + 24
34 = 34
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