Solve: 8+ 10(x-1) = 78
Answers
Answer:
8 + 10(x-1) = 78
=> 8 + 10x - 10 = 78
=> 8 - 10 + 10x = 78
=> -2 + 10x = 78
10x = 78 + 2
10x = 80
x = 80/10
x = 8
Answer:
1
Distribute
8
+
1
0
(
−
1
)
=
7
8
8+{\color{#c92786}{10(x-1)}}=78
8+10(x−1)=78
8
+
1
0
−
1
0
=
7
8
8+{\color{#c92786}{10x-10}}=78
8+10x−10=78
2
Subtract the numbers
8
+
1
0
−
1
0
=
7
8
{\color{#c92786}{8}}+10x{\color{#c92786}{-10}}=78
8+10x−10=78
−
2
+
1
0
=
7
8
{\color{#c92786}{-2}}+10x=78
−2+10x=78
3
Rearrange terms
−
2
+
1
0
=
7
8
{\color{#c92786}{-2+10x}}=78
−2+10x=78
1
0
−
2
=
7
8
{\color{#c92786}{10x-2}}=78
10x−2=78
4
Add
2
2
2
to both sides of the equation
1
0
−
2
=
7
8
10x-2=78
10x−2=78
1
0
−
2
+
2
=
7
8
+
2
10x-2+{\color{#c92786}{2}}=78+{\color{#c92786}{2}}
10x−2+2=78+2
5
Simplify
Add the numbers
Add the numbers
1
0
=
8
0
10x=80
10x=80
6
Divide both sides of the equation by the same term
1
0
=
8
0
10x=80
10x=80
1
0
1
0
=
8
0
1
0
\frac{10x}{{\color{#c92786}{10}}}=\frac{80}{{\color{#c92786}{10}}}
1010x=1080
7
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
8