Questions: Solve the following equation. 2-(x-4)=18

Transcript text: Solve the following equation. \[ 2-(x-4)=18 \]

Solution

Solution Steps

To solve the equation \(2 - (x - 4) = 18\), we first simplify the expression inside the parentheses and then isolate \(x\) by performing basic algebraic operations.

Step 1: Simplify the Equation

We start with the equation: \[ 2 - (x - 4) = 18 \] This can be rewritten as: \[ 2 - x + 4 = 18 \] which simplifies to: \[ 6 - x = 18 \]

Step 2: Isolate \(x\)

Next, we isolate \(x\) by subtracting 6 from both sides: \[ -x = 18 - 6 \] This simplifies to: \[ -x = 12 \]

Step 3: Solve for \(x\)

To find \(x\), we multiply both sides by -1: \[ x = -12 \]

Final Answer

The solution to the equation is \(\boxed{x = -12}\).

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