2x+1=2x-1 solve for x.

York 2021-01-10 Answered

2 x + 1 = 2 x - 1

solve for x.

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Expert Answer

averes8

Answered 2021-01-11 Author has 92 answers

When solving an equation, the first step is to move the variable terms to the same side.
The first step in solving

2 x + 1 = 2 x - 1

would then be to subtract 2x on both sides:

2 x + 1 = 2 x - 1

2 x + 1 - 2 x = 2 x - 1 - 2 x

1 = - 1

Notice that all the variable terms canceled. When you solve an equation, if the variable terms cancel and you are left with a false statement, then the equation has no solution. If the variable terms cancel and you are left with a true statement, then the solutions of the equation are all real values of x.
Since 1=−1 is false statement, then the equation

2 x + 1 = 2 x - 1

has no solution.

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