logkee3563
Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Discover comprehensive answers to your questions from knowledgeable professionals on our user-friendly platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Which statement represents the simplified form of the given equation and correctly describes the solution?

12x-1=2(6+5x)+7

A.
x = 10; exactly one real solution
B.
19 = 19; infinite real solutions
C.
1 ≠ 19; no real solution
D.
x = 20; exactly one real solution

Sagot :

kaliaratliff
Let's solve your equation step-by-step.
12
x
−
1
=
2
(
6
+
5
x
)
+
7
Step 1: Simplify both sides of the equation.
12
x
−
1
=
2
(
6
+
5
x
)
+
7
12
x
+
−
1
=
(
2
)
(
6
)
+
(
2
)
(
5
x
)
+
7
(Distribute)
12
x
+
−
1
=
12
+
10
x
+
7
12
x
−
1
=
(
10
x
)
+
(
12
+
7
)
(Combine Like Terms)
12
x
−
1
=
10
x
+
19
12
x
−
1
=
10
x
+
19
Step 2: Subtract 10x from both sides.
12
x
−
1
−
10
x
=
10
x
+
19
−
10
x
2
x
−
1
=
19
Step 3: Add 1 to both sides.
2
x
−
1
+
1
=
19
+
1
2
x
=
20
Step 4: Divide both sides by 2.
2
x
2
=
20
2
x
=
10
A- X=10 exactly one solution
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.