Questions: Solve the following equation. 5x+9-(x-9)=2x+19 Answer:

Solution Steps

To solve the equation \(5x + 9 - (x - 9) = 2x + 19\), we will first simplify both sides of the equation by distributing and combining like terms. Then, we will isolate the variable \(x\) on one side of the equation to find its value.

Start with the given equation: \[ 5x + 9 - (x - 9) = 2x + 19 \] Distribute and simplify the left side: \[ 5x + 9 - x + 9 = 2x + 19 \] Combine like terms: \[ 4x + 18 = 2x + 19 \]

Subtract \(2x\) from both sides to get: \[ 4x - 2x + 18 = 19 \] This simplifies to: \[ 2x + 18 = 19 \]

Subtract 18 from both sides: \[ 2x = 1 \] Divide both sides by 2: \[ x = \frac{1}{2} \]

Final Answer