x/5+3=x/2
Please Explain full
Answers
1
Find common denominator
5
+
3
=
2
\frac{x}{5}+3=\frac{x}{2}
5x+3=2x
5
+
5
⋅
3
5
=
2
\frac{x}{5}+\frac{5 \cdot 3}{5}=\frac{x}{2}
5x+55⋅3=2x
2
Combine fractions with common denominator
5
+
5
⋅
3
5
=
2
\frac{x}{5}+\frac{5 \cdot 3}{5}=\frac{x}{2}
5x+55⋅3=2x
+
5
⋅
3
5
=
2
\frac{x+5 \cdot 3}{5}=\frac{x}{2}
5x+5⋅3=2x
3
Multiply the numbers
+
5
⋅
3
5
=
2
\frac{x+{\color{#c92786}{5}} \cdot {\color{#c92786}{3}}}{5}=\frac{x}{2}
5x+5⋅3=2x
+
1
5
5
=
2
\frac{x+{\color{#c92786}{15}}}{5}=\frac{x}{2}
5x+15=2x
4
Multiply all terms by the same value to eliminate fraction denominators
+
1
5
5
=
2
\frac{x+15}{5}=\frac{x}{2}
5x+15=2x
1
0
(
+
1
5
5
)
=
1
0
⋅
2
10(\frac{x+15}{5})=10 \cdot \frac{x}{2}
10(5x+15)=10⋅2x
5
Cancel multiplied terms that are in the denominator
1
0
(
+
1
5
5
)
=
1
0
⋅
2
10(\frac{x+15}{5})=10 \cdot \frac{x}{2}
10(5x+15)=10⋅2x
2
(
+
1
5
)
=
5
2(x+15)=5x
2(x+15)=5x
6
Distribute
2
(
+
1
5
)
=
5
{\color{#c92786}{2(x+15)}}=5x
2(x+15)=5x
2
+
3
0
=
5
{\color{#c92786}{2x+30}}=5x
2x+30=5x
7
Subtract
3
0
30
30
from both sides of the equation
2
+
3
0
=
5
2x+30=5x
2x+30=5x
2
+
3
0
−
3
0
=
5
−
3
0
2x+30{\color{#c92786}{-30}}=5x{\color{#c92786}{-30}}
2x+30−30=5x−30
8
Simplify
Subtract the numbers
2
=
5
−
3
0
2x=5x-30
2x=5x−30
9
Subtract
5
5x
5x
from both sides of the equation
2
=
5
−
3
0
2x=5x-30
2x=5x−30
2
−
5
=
5
−
3
0
−
5
2x{\color{#c92786}{-5x}}=5x-30{\color{#c92786}{-5x}}
2x−5x=5x−30−5x
10
Simplify
Combine like terms
Combine like terms
−
3
=
−
3
0
-3x=-30
−3x=−30
11
Divide both sides of the equation by the same term
−
3
=
−
3
0
-3x=-30
−3x=−30
−
3
−
3
=
−
3
0
−
3
\frac{-3x}{{\color{#c92786}{-3}}}=\frac{-30}{{\color{#c92786}{-3}}}
−3−3x=−3−30
12
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
1
0