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I want to know how to solve multi step equation

I want to know how to solve multi step equation-example-1
User Michail N
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2 Answers

1 vote

When solving multi-step equation you should start by combining like terms.

4x + 10 = 7x + 16

With this equation you can subtract 4x from each side. -4x = -4x

10 = 3x + 16

Then you can combine 16 and 10 by subtracting 16 from each side. -16 = -16

-6 = 3x

After that you try and isolate the variable. You can do this by dividing both sides by 3 which also isolates the variable. *1/3 = *1/3

-2 = x

So the final answer would be x = -2

User Elekwent
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5.8k points
4 votes

We are given:


4x+10=7x+16

Our goal in solving for any variable, in this case is x, we need to isolate x on one side of the variable. Let's start by subtracting 7x from both sides, which will cancel the +7x on the right side. We are then left with:


-3x+10=16

Now, we want to move that +10 to the other side so our x is all by itself. Let's subtract 10 from both sides, which will cancel the +10 on the right leaving us with:


-3x=6

Since we cannot have a coefficient when solving for x, we need to divide both sides by -3.


(-3x)/(-3)={(6)/(-3)

When we divide, our answer is:


x=-2

User Jacopo Tosi
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6.0k points