Solve: 1/4x + 1/5 x = x - 7
Answers
Answer:
hey
Step-by-step explanation:
answer...
1
4
⋅
+
1
5
⋅
=
−
7
\frac{1}{4} \cdot x+\frac{1}{5} \cdot x=x-7
41⋅x+51⋅x=x−7
Solve
1
Combine multiplied terms into a single fraction
1
4
+
1
5
⋅
=
−
7
1
4
+
1
5
⋅
=
−
7
2
Multiply by 1
1
4
+
1
5
⋅
=
−
7
4
+
1
5
⋅
=
−
7
3
Combine multiplied terms into a single fraction
4
+
1
5
=
−
7
4
+
1
5
=
−
7
4
Multiply by 1
4
+
1
5
=
−
7
4
+
5
=
−
7
5
Subtract
x
x
from both sides of the equation
4
+
5
=
−
7
4
+
5
−
=
−
7
−
6
Simplify
Combine like terms
4
+
5
−
=
−
7
7
Multiply all terms by the same value to eliminate fraction denominators
4
+
5
−
=
−
7
2
⋅
2
⋅
5
(
4
+
5
−
)
=
2
⋅
2
⋅
5
(
−
7
)
8
Simplify
Multiply the numbers
Distribute
Combine multiplied terms into a single fraction
Cancel terms that are in both the numerator and denominator
Combine multiplied terms into a single fraction
Cancel terms that are in both the numerator and denominator
Combine like terms
Multiply the numbers
−
1
1
=
−
1
4
0
9
Divide both sides of the equation by the same term
−
1
1
=
−
1
4
0
−
1
1
−
1
1
=
−
1
4
0
−
1
1
10
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
1
4
0
1
1
Solution
=
1
4
0
1
1
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