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Let’s check out your problem:
x
=
3
x
−
1
x = 3x - 1
x
=
3
x
−
1
, Find
x
x
x
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Math Problems
Grade 6
Evaluate numerical expressions involving integers
Full solution
Q.
x
=
3
x
−
1
x = 3x - 1
x
=
3
x
−
1
, Find
x
x
x
Write Equation:
Write down the equation given in the problem.
\newline
The equation is
x
=
3
x
−
1
x = 3x - 1
x
=
3
x
−
1
.
Subtract
3
x
3x
3
x
:
Subtract
3
x
3x
3
x
from both sides of the equation to get all
x
x
x
terms on one side.
\newline
x
−
3
x
=
3
x
−
1
−
3
x
x - 3x = 3x - 1 - 3x
x
−
3
x
=
3
x
−
1
−
3
x
\newline
This simplifies to
−
2
x
=
−
1
-2x = -1
−
2
x
=
−
1
.
Divide by
−
2
-2
−
2
:
Divide both sides of the equation by
−
2
-2
−
2
to solve for
x
x
x
.
−
2
x
/
−
2
=
−
1
/
−
2
-2x / -2 = -1 / -2
−
2
x
/
−
2
=
−
1/
−
2
This simplifies to
x
=
1
/
2
x = 1/2
x
=
1/2
.
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