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An equation is shown below:6(2x − 11) + 15 = 3x + 12Part A: Write the steps you will use to solve the equation, and explain each step. (6 points)Part B: What value of x makes the equation true? (4 points)Can you answer part a and part b in written form please?

User Adrianopolis
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1 Answer

12 votes
12 votes

Given:


6(2x-11)+15=3x+12

Required:

To write the steps to solve the given equation and to find the value of x.

Step-by-step explanation:

(A)

Consider


6(2x-11)+15=3x+12

First multiply 6,


12x-66+15=3x+12

Next subtract 15 from 61, we get


12x-51=3x+12

Add 51 to the above equation


\begin{gathered} 12x-51+51=3x+12+51 \\ 12x=3x+63 \end{gathered}

Subtract 3x we get


\begin{gathered} 12x-3x=3x-3x+63 \\ 9x=63 \end{gathered}

Divide 9 on both side, we get


\begin{gathered} (9x)/(9)=(63)/(9) \\ \\ x=7 \end{gathered}

(B)


\begin{gathered} 6(2x-11)+15=3x+12 \\ 12x-66+15=3x+12 \\ 12x-3x=12-15+66 \\ 9x=63 \\ x=(63)/(9) \\ x=7 \end{gathered}

x = 7 makes the equation true.

Final Answer:

The value of x = 7 makes the equation true.

User Deltab
by
3.0k points
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