Solve : 2 /4 x = x − 8
Answers
Answer:
X=13
Step-by-step explanation:
Divide the numbers
2
4
⋅
=
−
8
{\color{#c92786}{\frac{2}{4}}} \cdot x=x-8
42⋅x=x−8
1
2
=
−
8
{\color{#c92786}{\frac{1}{2}}}x=x-8
21x=x−8
2
Combine multiplied terms into a single fraction
1
2
=
−
8
\frac{1}{2}x=x-8
21x=x−8
1
2
=
−
8
\frac{1x}{2}=x-8
21x=x−8
3
Multiply by 1
1
2
=
−
8
\frac{1x}{2}=x-8
21x=x−8
2
=
−
8
\frac{x}{2}=x-8
2x=x−8
4
Subtract
x
x
from both sides of the equation
2
=
−
8
\frac{x}{2}=x-8
2x=x−8
2
−
=
−
8
−
\frac{x}{2}{\color{#c92786}{-x}}=x-8{\color{#c92786}{-x}}
2x−x=x−8−x
5
Simplify
Find common denominator
Combine fractions with common denominator
Multiply the numbers
Combine like terms
Combine like terms
−
2
=
−
8
\frac{-x}{2}=-8
2−x=−8
6
Multiply all terms by the same value to eliminate fraction denominators
−
2
=
−
8
\frac{-x}{2}=-8
2−x=−8
2
⋅
−
2
=
2
(
−
8
)
2 \cdot \frac{-x}{2}=2\left(-8\right)
2⋅2−x=2(−8)
7
Cancel multiplied terms that are in the denominator
2
⋅
−
2
=
2
(
−
8
)
2 \cdot \frac{-x}{2}=2\left(-8\right)
2⋅2−x=2(−8)
−
=
2
(
−
8
)
-x=2\left(-8\right)
−x=2(−8)
8
Multiply the numbers
9
Divide both sides of the equation by the same term
−
=
−
1
6
-x=-16
−x=−16
−
−
1
=
−
1
6
−
1
\frac{-x}{{\color{#c92786}{-1}}}=\frac{-16}{{\color{#c92786}{-1}}}
−1−x=−1−16
10
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
1
6
x=16
x=16
Answer:
2/4x-x=-8
2-4x/4=-8
-2x/4=-8
2x/4=8
2x=8*4
2x=32
x=32/2
x=16
Step-by-step explanation:
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