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Math Equations











































Can you show me the steps on completed this problem?

2x=x+3

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Oct 24, 2011
Math Equations
by: Staff


Question:

Can you show me the steps on completed this problem?

2x=x+3



Answer:



2x = x + 3


Your goal is to place the variable “x” on one side of the equation (by itself), and everything else on the other.

To begin, you must either a) eliminate the 2x from the left side of the equation, or b) eliminate the x from the right side of the equation.


The question is: how?

Although it doesn’t matter which approach you take, eliminating the x from the right side of the equation will eliminate an extra step.


The x on the right hand side of the equation is a positive x.

The opposite of a positive x is a negative x.


When you subtract x from each side of the equation, the x on the right side of the equation disappears.

x - x = 0

2x - x = x - x + 3

2x - x = 0 + 3

2x - x = 3

Combine like terms:

x = 3

the final answer is: x = 3





Check your work. Substitute 3 for the variable x in the original equation.

2x = x + 3

2 * 3 = 3 + 3

2 * 3 = 6

6 = 6→ x = 3 is a valid solution


Thanks for writing.

Staff
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