How to solve your problem
Topics: Algebra, Polynomial
7
3
+
2
=
−
1
\frac{7x}{3}+2=-1
37x+2=−1
Solve
1
Find common denominator
7
3
+
2
=
−
1
\frac{7x}{3}+2=-1
37x+2=−1
7
3
+
3
⋅
2
3
=
−
1
\frac{7x}{3}+\frac{3 \cdot 2}{3}=-1
37x+33⋅2=−1
2
Combine fractions with common denominator
7
3
+
3
⋅
2
3
=
−
1
\frac{7x}{3}+\frac{3 \cdot 2}{3}=-1
37x+33⋅2=−1
7
+
3
⋅
2
3
=
−
1
\frac{7x+3 \cdot 2}{3}=-1
37x+3⋅2=−1
3
Multiply the numbers
7
+
3
⋅
2
3
=
−
1
\frac{7x+{\color{#c92786}{3}} \cdot {\color{#c92786}{2}}}{3}=-1
37x+3⋅2=−1
7
+
6
3
=
−
1
\frac{7x+{\color{#c92786}{6}}}{3}=-1
37x+6=−1
4
Multiply all terms by the same value to eliminate fraction denominators
7
+
6
3
=
−
1
\frac{7x+6}{3}=-1
37x+6=−1
3
(
7
+
6
3
)
=
3
(
−
1
)
3(\frac{7x+6}{3})=3\left(-1\right)
3(37x+6)=3(−1)
5
Cancel multiplied terms that are in the denominator
3
(
7
+
6
3
)
=
3
(
−
1
)
3(\frac{7x+6}{3})=3\left(-1\right)
3(37x+6)=3(−1)
7
+
6
=
3
(
−
1
)
7x+6=3\left(-1\right)
7x+6=3(−1)
6
Multiply the numbers
7
+
6
=
3
(
−
1
)
7x+6={\color{#c92786}{3}}\left({\color{#c92786}{-1}}\right)
7x+6=3(−1)
7
+
6
=
−
3
7x+6={\color{#c92786}{-3}}
7x+6=−3
7
Subtract
6
6
6
from both sides of the equation
7
+
6
=
−
3
7x+6=-3
7x+6=−3
7
+
6
−
6
=
−
3
−
6
7x+6{\color{#c92786}{-6}}=-3{\color{#c92786}{-6}}
7x+6−6=−3−6
8
Simplify
Subtract the numbers
7
=
−
9
7x=-9
7x=−9
9
Divide both sides of the equation by the same term
7
=
−
9
7x=-9
7x=−9
7
7
=
−
9
7
\frac{7x}{{\color{#c92786}{7}}}=\frac{-9}{{\color{#c92786}{7}}}
77x=7−9
10
Simplify
Cancel terms that are in both the numerator and denominator
=
−
9
7
x=\frac{-9}{7}
x=7−9
Solution
=
−
9
7
