solve 2x- (1-22) = 5-3 (1+x)
Answers
Answer:
2
−
(
1
−
2
2
)
=
5
−
3
(
1
+
)
2x-(1-22)=5-3(1+x)
2x−(1−22)=5−3(1+x)
Solve
1
Subtract the numbers
2
−
(
1
−
2
2
)
=
5
−
3
(
1
+
)
2x-({\color{#c92786}{1-22}})=5-3(1+x)
2x−(1−22)=5−3(1+x)
2
−
(
−
2
1
)
=
5
−
3
(
1
+
)
2x-({\color{#c92786}{-21}})=5-3(1+x)
2x−(−21)=5−3(1+x)
2
Multiply the numbers
2
−
1
(
−
2
1
)
=
5
−
3
(
1
+
)
2x{\color{#c92786}{-1}}\left({\color{#c92786}{-21}}\right)=5-3(1+x)
2x−1(−21)=5−3(1+x)
2
+
2
1
=
5
−
3
(
1
+
)
2x+{\color{#c92786}{21}}=5-3(1+x)
2x+21=5−3(1+x)
3
Rearrange terms
2
+
2
1
=
5
−
3
(
1
+
)
2x+21=5-3({\color{#c92786}{1+x}})
2x+21=5−3(1+x)
2
+
2
1
=
5
−
3
(
+
1
)
2x+21=5-3({\color{#c92786}{x+1}})
2x+21=5−3(x+1)
4
Distribute
2
+
2
1
=
5
−
3
(
+
1
)
2x+21=5{\color{#c92786}{-3(x+1)}}
2x+21=5−3(x+1)
2
+
2
1
=
5
−
3
−
3
2x+21=5{\color{#c92786}{-3x-3}}
2x+21=5−3x−3
5
Subtract the numbers
2
+
2
1
=
5
−
3
−
3
2x+21={\color{#c92786}{5}}-3x{\color{#c92786}{-3}}
2x+21=5−3x−3
2
+
2
1
=
2
−
3
2x+21={\color{#c92786}{2}}-3x
2x+21=2−3x
6
Rearrange terms
2
+
2
1
=
2
−
3
2x+21={\color{#c92786}{2-3x}}
2x+21=2−3x
2
+
2
1
=
−
3
+
2
2x+21={\color{#c92786}{-3x+2}}
2x+21=−3x+2
7
Subtract
2
1
21
21
from both sides of the equation
2
+
2
1
=
−
3
+
2
2x+21=-3x+2
2x+21=−3x+2
2
+
2
1
−
2
1
=
−
3
+
2
−
2
1
2x+21{\color{#c92786}{-21}}=-3x+2{\color{#c92786}{-21}}
2x+21−21=−3x+2−21
8
Simplify
Subtract the numbers
Subtract the numbers
2
=
−
3
−
1
9
2x=-3x-19
2x=−3x−19
9
Add
3
3x
3x
to both sides of the equation
2
=
−
3
−
1
9
2x=-3x-19
2x=−3x−19
2
+
3
=
−
3
−
1
9
+
3
2x+{\color{#c92786}{3x}}=-3x-19+{\color{#c92786}{3x}}
2x+3x=−3x−19+3x
10
Simplify
Combine like terms
Combine like terms
5
=
−
1
9
5x=-19
5x=−19
11
Divide both sides of the equation by the same term
5
=
−
1
9
5x=-19
5x=−19
5
5
=
−
1
9
5
\frac{5x}{{\color{#c92786}{5}}}=\frac{-19}{{\color{#c92786}{5}}}
55x=5−19
12
Simplify
Cancel terms that are in both the numerator and denominator
=
−
1
9
5
x=\frac{-19}{5}
x=5−19
Solution
=
−
1
9
5