Solve for x : x + 1 = 3(x - 5)
Answers
Answer:
x + 1 = 3x - 15
2x = 16
x = 8
is the answer for the question
Answer:
x= 8
Step-by-step explanation:
How to solve your question
Your question is
+
1
=
3
(
−
5
)
x+1=3(x-5)
x+1=3(x−5)
Solve
1
Distribute
+
1
=
3
(
−
5
)
x+1={\color{#c92786}{3(x-5)}}
x+1=3(x−5)
+
1
=
3
−
1
5
x+1={\color{#c92786}{3x-15}}
x+1=3x−15
2
Subtract
1
1
1
from both sides of the equation
+
1
=
3
−
1
5
x+1=3x-15
x+1=3x−15
+
1
−
1
=
3
−
1
5
−
1
x+1{\color{#c92786}{-1}}=3x-15{\color{#c92786}{-1}}
x+1−1=3x−15−1
3
Simplify
Subtract the numbers
Subtract the numbers
=
3
−
1
6
x=3x-16
x=3x−16
4
Subtract
3
3x
3x
from both sides of the equation
=
3
−
1
6
x=3x-16
x=3x−16
−
3
=
3
−
1
6
−
3
x{\color{#c92786}{-3x}}=3x-16{\color{#c92786}{-3x}}
x−3x=3x−16−3x
5
Simplify
Combine like terms
Combine like terms
−
2
=
−
1
6
-2x=-16
−2x=−16
6
Divide both sides of the equation by the same term
−
2
=
−
1
6
-2x=-16
−2x=−16
−
2
−
2
=
−
1
6
−
2
\frac{-2x}{{\color{#c92786}{-2}}}=\frac{-16}{{\color{#c92786}{-2}}}
−2−2x=−2−16
7
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
8