Questions: 5(2x+1)=20

5(2x+1)=20
Transcript text: $5(2 x+1)=20$
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Solution

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Solution Steps

Step 1: Simplify the expression \(17x - 9x\)

Combine like terms by subtracting the coefficients: \[ 17x - 9x = (17 - 9)x = 8x \]

Step 2: Simplify the expression \(8 + 3(2y)\)

First, multiply \(3\) by \(2y\): \[ 3(2y) = 6y \] Then, add \(8\) to the result: \[ 8 + 6y \]

Step 3: Solve the equation \(5(2x + 1) = 20\)

First, divide both sides of the equation by \(5\): \[ 2x + 1 = \frac{20}{5} = 4 \] Next, subtract \(1\) from both sides: \[ 2x = 4 - 1 = 3 \] Finally, divide both sides by \(2\): \[ x = \frac{3}{2} \]

Final Answer

\[ \boxed{8x} \] \[ \boxed{8 + 6y} \] \[ \boxed{x = \frac{3}{2}} \]

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