Question

2x+1
= (16) 2x+ 5 find x


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Answer 1

Answer:

Step-by-step explanation:

2x+1=16*2x+5

2x+1=32x+5

32x-2x=1-5

30x=-4

x=-2/15

Answer 2

Question

Find the value of 'x' in the equation ⇒ $2x+1 = (16) 2x + 5$

$\rule{300}{1}$

Answer

Let's solve your equation step-by-step.

$2x+1=(16)(2)x+5$

Step 1: Simplify both sides of the equation.

⇒ $2x+1=32x+5$

Step 2: Subtract 32x from both sides.

⇒ $2x+1-32x=32x+5-32x$

⇒ $-30x+1=5$

Step 3: Subtract 1 from both sides.

⇒ $-30x+1-1=5-1$

⇒ $-30x=4$

Step 4: Divide both sides by -30.

⇒ $\frac{-30x}{-30}=\frac{4}{-30}$

⇒ $x = \frac{-2}{15}$

Let's verify if x = ⁻²/₁₅

⇒ $2x+1=(16)(2)x+5$

⇒ $2\times \frac{-2}{15} +1=(16)(2)\times \frac{-2}{15} +5$

⇒ $\frac{-4}{15} +1=32\times \frac{-2}{15} +5$

⇒ $\frac{-4}{15} +1=\frac{-64}{15} + 5$

⇒ $\frac{-4}{15} +\frac{15}{15} =\frac{-64}{15} +\frac{75}{15}$

⇒ $\frac{11}{15} = \frac{11}{15}$

∴ x = ⁻²/₁₅ in the equation ⇒ 2x+1 = (16) 2x+5

$\rule{300}{1}$