Solve the following equation
Answers
Answer:
Find common denominator
3
5
−
3
1
0
=
4
\frac{3x}{5}-\frac{3}{10}=\frac{x}{4}
3
5
+
5
(
−
3
1
0
)
5
=
4
\frac{3x}{5}+\frac{5\left(-\frac{3}{10}\right)}{5}=\frac{x}{4}
2
Combine fractions with common denominator
3
5
+
5
(
−
3
1
0
)
5
=
4
\frac{3x}{5}+\frac{5\left(-\frac{3}{10}\right)}{5}=\frac{x}{4}
3
+
5
(
−
3
1
0
)
5
=
4
\frac{3x+5\left(-\frac{3}{10}\right)}{5}=\frac{x}{4}
3
Multiply the numbers
3
+
5
(
−
3
1
0
)
5
=
4
\frac{3x+{\color{#c92786}{5}}\left({\color{#c92786}{-\frac{3}{10}}}\right)}{5}=\frac{x}{4}
3
−
3
2
5
=
4
\frac{3x{\color{#c92786}{-\frac{3}{2}}}}{5}=\frac{x}{4}
4
Multiply all terms by the same value to eliminate fraction denominators
5
Cancel multiplied terms that are in the denominator
2
0
⋅
3
−
3
2
5
=
2
0
⋅
4
20 \cdot \frac{3x-\frac{3}{2}}{5}=20 \cdot \frac{x}{4}
4
(
3
−
3
2
)
=
5
4(3x-\frac{3}{2})=5x
6
Distribute
4
(
3
−
3
2
)
=
5
{\color{#c92786}{4(3x-\frac{3}{2})}}=5x
1
2
−
6
=
5
{\color{#c92786}{12x-6}}=5x
7
Add
6
6
to both sides of the equation
1
2
−
6
=
5
12x-6=5x
1
2
−
6
+
6
=
5
+
6
12x-6+{\color{#c92786}{6}}=5x+{\color{#c92786}{6}}
8
Simplify
9
Subtract
5
5x
from both sides of the equation
1
2
=
5
+
6
12x=5x+6
1
2
−
5
=
5
+
6
−
5
12x{\color{#c92786}{-5x}}=5x+6{\color{#c92786}{-5x}}
10
Simplify
Combine like terms
Combine like terms
7
=
6
7x=6
11
Divide both sides of the equation by the same term
7
=
6
7x=6
7
7
=
6
7
\frac{7x}{{\color{#c92786}{7}}}=\frac{6}{{\color{#c92786}{7}}}
12
Simplify
Cancel terms that are in both the numerator and denominator
=
6
7
x=\frac{6}{7}
Step-by-step explanation:
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Answer:
6/7
Step-by-step explanation:
(2(3x)-3)/10=x/4
(6x-3)/10=x/4
4(6x-3)=10x
24x-12=10x
24x-10x=12
14x=12
x=12/14
x=6/7