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Step-by-step explanation:
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Answer:
X=54
Step-by-step explanation:
How to solve your problem
Topics: Polynomial Equation
3
−
8
=
1
0
\frac{x}{3}-8=10
3x−8=10
Solve
1
Find common denominator
3
−
8
=
1
0
\frac{x}{3}-8=10
3x−8=10
3
+
3
(
−
8
)
3
=
1
0
\frac{x}{3}+\frac{3\left(-8\right)}{3}=10
3x+33(−8)=10
2
Combine fractions with common denominator
3
+
3
(
−
8
)
3
=
1
0
\frac{x}{3}+\frac{3\left(-8\right)}{3}=10
3x+33(−8)=10
+
3
(
−
8
)
3
=
1
0
\frac{x+3\left(-8\right)}{3}=10
3x+3(−8)=10
3
Multiply the numbers
+
3
(
−
8
)
3
=
1
0
\frac{x+{\color{#c92786}{3}}\left({\color{#c92786}{-8}}\right)}{3}=10
3x+3(−8)=10
−
2
4
3
=
1
0
\frac{x{\color{#c92786}{-24}}}{3}=10
3x−24=10
4
Multiply all terms by the same value to eliminate fraction denominators
−
2
4
3
=
1
0
\frac{x-24}{3}=10
3x−24=10
3
⋅
−
2
4
3
=
3
⋅
1
0
3 \cdot \frac{x-24}{3}=3 \cdot 10
3⋅3x−24=3⋅10
5
Cancel multiplied terms that are in the denominator
3
⋅
−
2
4
3
=
3
⋅
1
0
3 \cdot \frac{x-24}{3}=3 \cdot 10
3⋅3x−24=3⋅10
−
2
4
=
3
⋅
1
0
x-24=3 \cdot 10
x−24=3⋅10
6
Multiply the numbers
−
2
4
=
3
⋅
1
0
x-24={\color{#c92786}{3}} \cdot {\color{#c92786}{10}}
x−24=3⋅10
−
2
4
=
3
0
x-24={\color{#c92786}{30}}
x−24=30
7
Add
2
4
24
24
to both sides of the equation
−
2
4
=
3
0
x-24=30
x−24=30
−
2
4
+
2
4
=
3
0
+
2
4
x-24+{\color{#c92786}{24}}=30+{\color{#c92786}{24}}
x−24+24=30+24
8
Simplify
Add the numbers
Add the numbers
=
5
4