logkee3563
Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Get detailed and accurate answers to your questions from a dedicated community of experts on our 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 your visit. We're dedicated to helping you find the information you need, whenever you need it. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.