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Let’s check out your problem:
1
+
3
x
−
4
=
2
1+ 3x - 4 = 2
1
+
3
x
−
4
=
2
Find
x
x
x
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Math Problems
Grade 6
Add, subtract, multiply, or divide two fractions
Full solution
Q.
1
+
3
x
−
4
=
2
1+ 3x - 4 = 2
1
+
3
x
−
4
=
2
Find
x
x
x
Simplify and Combine Like Terms:
First, simplify the left side of the equation by combining like terms.
\newline
1
−
4
=
−
3
1 - 4 = -3
1
−
4
=
−
3
, so the equation becomes
−
3
+
3
x
=
2
-3 + 3x = 2
−
3
+
3
x
=
2
.
Isolate Variable Term:
Next, add
3
3
3
to both sides of the equation to isolate the term with the variable on one side.
\newline
−
3
+
3
+
3
x
=
2
+
3
-3 + 3 + 3x = 2 + 3
−
3
+
3
+
3
x
=
2
+
3
\newline
This simplifies to
3
x
=
5
3x = 5
3
x
=
5
.
Solve for x:
Finally, divide both sides of the equation by
3
3
3
to solve for
x
x
x
.
\newline
3
x
3
=
5
3
\frac{3x}{3} = \frac{5}{3}
3
3
x
=
3
5
\newline
This gives us
x
=
5
3
x = \frac{5}{3}
x
=
3
5
.
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\newline
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As a fraction in simplest terms, what would you multiply the first number by to get the second?
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