3(x-5) = 2( x+8) solve
Answers
3(x-5)=2(x+8)
=>3x-15=2x+16
=>3x-2x=16+15
=>x=31
Answer:
Step-by-step explanation:
3
(
−
5
)
=
2
(
+
8
)
{\color{#c92786}{3(x-5)}}=2(x+8)
3(x−5)=2(x+8)
3
−
1
5
=
2
(
+
8
)
{\color{#c92786}{3x-15}}=2(x+8)
3x−15=2(x+8)
2
Distribute
3
−
1
5
=
2
(
+
8
)
3x-15={\color{#c92786}{2(x+8)}}
3x−15=2(x+8)
3
−
1
5
=
2
+
1
6
3x-15={\color{#c92786}{2x+16}}
3x−15=2x+16
3
Add
1
5
15
15
to both sides of the equation
3
−
1
5
=
2
+
1
6
3x-15=2x+16
3x−15=2x+16
3
−
1
5
+
1
5
=
2
+
1
6
+
1
5
3x-15+{\color{#c92786}{15}}=2x+16+{\color{#c92786}{15}}
3x−15+15=2x+16+15
4
Simplify
Add the numbers
Add the numbers
3
=
2
+
3
1
3x=2x+31
3x=2x+31
5
Subtract
2
2x
2x
from both sides of the equation
3
=
2
+
3
1
3x=2x+31
3x=2x+31
3
−
2
=
2
+
3
1
−
2
3x{\color{#c92786}{-2x}}=2x+31{\color{#c92786}{-2x}}
3x−2x=2x+31−2x
6
Simplify
Combine like terms
Multiply by 1
Combine like terms
=
3
1
x=31
x=31
Solution
=
3
1