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7x + 12 = 13x

to solve this equation for x you must get all the x's together.

,

subtract 7x from both sides.

12 = 13x - 7x

combining like terms.

12 = 6x

,

we are still trying to get the x by it's self so we must get rid of the 6. the 6 is multiplied by to the x so to get rid of it we must divide.

,

divide both sides by 6.

12/6 = (6x)/6

2 = x

the solution to the equation is x = 2

,

to check this you can plug x = 2 into the original equation to see if it is true.

,

7(2) + 12 = 13(2) ?

14 + 12 = 26

26 = 26

this is true so we solved the equation correctly! :)

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