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Let’s check out your problem:
Solve for
x
x
x
.
\newline
3
x
−
4
=
2
5
−
3
3x - 4 = 2^5 - 3
3
x
−
4
=
2
5
−
3
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Math Problems
Grade 8
Solve two-step inequalities
Full solution
Q.
Solve for
x
x
x
.
\newline
3
x
−
4
=
2
5
−
3
3x - 4 = 2^5 - 3
3
x
−
4
=
2
5
−
3
Calculate
2
5
2^5
2
5
:
Simplify the right side of the equation by calculating the value of
2
5
2^5
2
5
.
\newline
2
5
=
32
2^5 = 32
2
5
=
32
\newline
So the equation becomes
3
x
−
4
=
32
−
3
3x - 4 = 32 - 3
3
x
−
4
=
32
−
3
Simplify right side:
Continue simplifying the right side by subtracting
3
3
3
from
32
32
32
.
\newline
32
−
3
=
29
32 - 3 = 29
32
−
3
=
29
\newline
Now the equation is
3
x
−
4
=
29
3x - 4 = 29
3
x
−
4
=
29
Add
4
4
4
:
Add
4
4
4
to both sides of the equation to isolate the term with
x
x
x
on one side.
\newline
3
x
−
4
+
4
=
29
+
4
3x - 4 + 4 = 29 + 4
3
x
−
4
+
4
=
29
+
4
\newline
This simplifies to
3
x
=
33
3x = 33
3
x
=
33
Divide by
3
3
3
:
Divide both sides of the equation by
3
3
3
to solve for
x
x
x
.
3
x
3
=
33
3
\frac{3x}{3} = \frac{33}{3}
3
3
x
=
3
33
This gives us
x
=
11
x = 11
x
=
11
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\newline
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