solve the equation 9z-5(2z-3)=1-2z
Answers
Answer:
z=-14
Step-by-step explanation:
Distribute
9
−
5
(
2
−
3
)
=
1
−
2
9z{\color{#c92786}{-5(2z-3)}}=1-2z
9z−5(2z−3)=1−2z
9
−
1
0
+
1
5
=
1
−
2
9z{\color{#c92786}{-10z+15}}=1-2z
9z−10z+15=1−2z
2
Combine like terms
9
−
1
0
+
1
5
=
1
−
2
{\color{#c92786}{9z}}{\color{#c92786}{-10z}}+15=1-2z
9z−10z+15=1−2z
−
+
1
5
=
1
−
2
{\color{#c92786}{-z}}+15=1-2z
−z+15=1−2z
3
Rearrange terms
−
+
1
5
=
1
−
2
-z+15={\color{#c92786}{1-2z}}
−z+15=1−2z
−
+
1
5
=
−
2
+
1
-z+15={\color{#c92786}{-2z+1}}
−z+15=−2z+1
4
Subtract
1
5
15
15
from both sides of the equation
−
+
1
5
=
−
2
+
1
-z+15=-2z+1
−z+15=−2z+1
−
+
1
5
−
1
5
=
−
2
+
1
−
1
5
-z+15{\color{#c92786}{-15}}=-2z+1{\color{#c92786}{-15}}
−z+15−15=−2z+1−15
5
Simplify
Subtract the numbers
Subtract the numbers
−
=
−
2
+
1
−
1
5
-z=-2z+{\color{#c92786}{1}}{\color{#c92786}{-15}}
−z=−2z+1−15
−
=
−
2
−
1
4
-z=-2z{\color{#c92786}{-14}}
−z=−2z−14
−
=
−
2
−
1
4
-z=-2z-14
−z=−2z−14
6
Add
2
2z
2z
to both sides of the equation
7
Simplify