x+5/2+x/3=20 please solve and verify this i need whole solution along with verification please
Answers
Answer:
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Answer:
Subtract
5
2
\frac{5}{2}
25
from both sides of the equation
+
5
2
+
3
=
2
0
x+\frac{5}{2}+\frac{x}{3}=20
x+25+3x=20
+
5
2
+
3
−
5
2
=
2
0
−
5
2
x+\frac{5}{2}+\frac{x}{3}{\color{#c92786}{-\frac{5}{2}}}=20{\color{#c92786}{-\frac{5}{2}}}
x+25+3x−25=20−25
2
Simplify
Subtract the numbers
Subtract the numbers
again
+
3
=
3
5
2
x+\frac{x}{3}=\frac{35}{2}
x+3x=235
3
Multiply all terms by the same value to eliminate fraction denominators
+
3
=
3
5
2
x+\frac{x}{3}=\frac{35}{2}
x+3x=235
3
(
+
3
)
=
3
⋅
3
5
2
3(x+\frac{x}{3})=3 \cdot \frac{35}{2}
3(x+3x)=3⋅235
4
Simplify
Distribute
Cancel multiplied terms that are in the denominator
Combine like terms
Multiply the numbers
4
=
1
0
5
2
4x=\frac{105}{2}
4x=2105
5
Divide both sides of the equation by the same term
4
=
1
0
5
2
4x=\frac{105}{2}
4x=2105
4
4
=
1
0
5
2
4
\frac{4x}{{\color{#c92786}{4}}}=\frac{\frac{105}{2}}{{\color{#c92786}{4}}}
44x=42105
6
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
1
0
5
8
x=\frac{105}{8}
x=8105
Solution
=
1
0
5
8
x=\frac{105}{8}
x=8105