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Alenkasestr [34]
11 months ago
14

If 2x + 5 = 8x, then 12x = ?A.5B.10C.15D.20

Mathematics
1 answer:
butalik [34]11 months ago
3 0
<h2>Answer:</h2>10.\text{ Option B is correct}

<h2>Explanation:</h2>

Given the equation expressed as:

2x+5=8x

First, we need to calculate the value of "x" from the given expression.

Step 1: Given the equation 2x + 5 = 8x

Step 2: Subtract 5 from both sides:

\begin{gathered} 2x+5-5=8x-5 \\ 2x+\cancel{5}-\cancel{5}=8x-5 \\ 2x=8x-5 \end{gathered}

Step 3: Subtract 8x from both sides

\begin{gathered} 2x-8x=8x-8x-5 \\ -6x=\cancel{8x}-\cancel{8x}-5 \\ -6x=-5 \end{gathered}

Step 4: Divide both sides by -6

\begin{gathered} \frac{-6x}{-6}=\frac{-5}{-6} \\ x=\frac{5}{6} \end{gathered}

Step 5: Get the value of 12x. Substitute x = 5/6 into the expression to have:

\begin{gathered} 12x=12(\frac{5}{6}) \\ 12x=\cancel{12}^2(\frac{5}{\cancel{6}^1}) \\ 12x=2\times5 \\ 12x=10 \end{gathered}

Therefore the value of 12x is 10

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​

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1 Simplify  \frac{15}{20}

​20

​

​15

​​   to  \frac{3}{4}

​4

​

​3

​​ .

6to\times 9,\frac{9}{12},9to\times 12,\frac{15}{20\frac{3}{4}},246to×9,

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​9

​​ ,9to×12,

​20

​4

​

​3

​​  

​

​15

​​ ,24

2 Convert 20\frac{3}{4}20

​4

​

​3

​​  to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

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​

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​12

​

​9

​​ ,9to×12,

​

​4

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​20×4+3

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​

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3 Simplify  20\times 420×4  to  8080.

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​

​9

​​ ,9to×12,

​

​4

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​80+3

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​15

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6to\times 9,\frac{9}{12},9to\times 12,\frac{15}{\frac{83}{4}},246to×9,

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​

​9

​​ ,9to×12,

​

​4

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​​  

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​

​9

​​ ,9to×12,

​

​4

​

​83

​​  

​

​15

​​ ,24

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​12

​

​9

​​   to  \frac{3}{4}

​4

​

​3

​​ .

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​4

​

​3

​​ ,9to×12,

​

​4

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​

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​

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​

​4

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​

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