What is the solution to the equation? 3x - 5 =7x -9
2 answers:
Answer:
numbers
=
1
Step-by-step explanation:
1
Add
5
5
5
to both sides of the equation
3
−
5
=
7
−
9
3x-5=7x-9
3x−5=7x−9
3
−
5
+
5
=
7
−
9
+
5
3x-5+{\color{#c92786}{5}}=7x-9+{\color{#c92786}{5}}
3x−5+5=7x−9+5
2
Simplify
Add the numbers
Add the numbers
3
=
7
−
4
3x=7x-4
3x=7x−4
3
Subtract
7
7x
7x
from both sides of the equation
3
=
7
−
4
3x=7x-4
3x=7x−4
3
−
7
=
7
−
4
−
7
3x{\color{#c92786}{-7x}}=7x-4{\color{#c92786}{-7x}}
3x−7x=7x−4−7x
4
Simplify
Combine like terms
Combine like terms
−
4
=
−
4
-4x=-4
−4x=−4
5
Divide both sides of the equation by the same term
−
4
=
−
4
-4x=-4
−4x=−4
−
4
−
4
=
−
4
−
4
\frac{-4x}{{\color{#c92786}{-4}}}=\frac{-4}{{\color{#c92786}{-4}}}
−4−4x=−4−4
6
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
1
Answer:
x=1
Step-by-step explanation:
3x - 5 =7x -9
Subtract 3x from each side
3x - 5-3x =7x-3x -9
-5 = 4x-9
Add 9 to each side
-5+9 = 4x-9+9
4 = 4x
Divide each side by 4
4/4 = 4x/4
1=x
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