The solution of the equation 10 -(X -2) = 7x *
Answers
Answer:
1
0
−
(
−
2
)
=
7
10-\left(x-2\right)=7x
10−(x−2)=7x
1
0
−
+
2
=
7
10-x+2=7x
10−x+2=7x
2
Add the numbers
1
0
−
+
2
=
7
{\color{#c92786}{10}}-x+{\color{#c92786}{2}}=7x
10−x+2=7x
1
2
−
=
7
{\color{#c92786}{12}}-x=7x
12−x=7x
3
Rearrange terms
1
2
−
=
7
{\color{#c92786}{12-x}}=7x
12−x=7x
−
+
1
2
=
7
{\color{#c92786}{-x+12}}=7x
−x+12=7x
4
Subtract
1
2
12
12
from both sides of the equation
−
+
1
2
=
7
-x+12=7x
−x+12=7x
−
+
1
2
−
1
2
=
7
−
1
2
-x+12{\color{#c92786}{-12}}=7x{\color{#c92786}{-12}}
−x+12−12=7x−12
5
Simplify
Subtract the numbers
−
=
7
−
1
2
-x=7x-12
−x=7x−12
6
Subtract
7
7x
7x
from both sides of the equation
−
=
7
−
1
2
-x=7x-12
−x=7x−12
−
−
7
=
7
−
1
2
−
7
-x{\color{#c92786}{-7x}}=7x-12{\color{#c92786}{-7x}}
−x−7x=7x−12−7x
7
Simplify
Combine like terms
Combine like terms
−
8
=
−
1
2
-8x=-12
−8x=−12
8
Divide both sides of the equation by the same term
−
8
=
−
1
2
-8x=-12
−8x=−12
−
8
−
8
=
−
1
2
−
8
\frac{-8x}{{\color{#c92786}{-8}}}=\frac{-12}{{\color{#c92786}{-8}}}
−8−8x=−8−12
9
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
3
2
Answer:
10 -(X -2) = 7x
-10x + 20 = 7x
20 = 7x + 10x
20 = 17x
20/17 = x
Step-by-step explanation: