The root of the equation : ( -2)x + 3 = 3(x – 4) is
Answers
Answer:
x=3
Step-by-step explanation:
How to solve your problem
Topics: Algebra
(
−
2
)
+
3
=
3
(
−
4
)
(-2)x+3=3(x-4)
(−2)x+3=3(x−4)
Solve
1
Distribute
−
2
+
3
=
3
(
−
4
)
-2x+3={\color{#c92786}{3(x-4)}}
−2x+3=3(x−4)
−
2
+
3
=
3
−
1
2
-2x+3={\color{#c92786}{3x-12}}
−2x+3=3x−12
2
Subtract
3
3
3
from both sides of the equation
−
2
+
3
=
3
−
1
2
-2x+3=3x-12
−2x+3=3x−12
−
2
+
3
−
3
=
3
−
1
2
−
3
-2x+3{\color{#c92786}{-3}}=3x-12{\color{#c92786}{-3}}
−2x+3−3=3x−12−3
3
Simplify
Subtract the numbers
Subtract the numbers
−
2
=
3
−
1
5
-2x=3x-15
−2x=3x−15
4
Subtract
3
3x
3x
from both sides of the equation
−
2
=
3
−
1
5
-2x=3x-15
−2x=3x−15
−
2
−
3
=
3
−
1
5
−
3
-2x{\color{#c92786}{-3x}}=3x-15{\color{#c92786}{-3x}}
−2x−3x=3x−15−3x
5
Simplify
Combine like terms
Combine like terms
−
5
=
−
1
5
-5x=-15
−5x=−15
6
Divide both sides of the equation by the same term
−
5
=
−
1
5
-5x=-15
−5x=−15
−
5
−
5
=
−
1
5
−
5
\frac{-5x}{{\color{#c92786}{-5}}}=\frac{-15}{{\color{#c92786}{-5}}}
−5−5x=−5−15
7
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
3
Answer:
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x= 6