Math

QuestionIdentify the error in the solution steps for the equation 14x3(3x3)=4x+214 x-3(3 x-3) =4 x+2. What is the correct solution?

Studdy Solution

STEP 1

Assumptions1. The equation given is 14x3(3x3)=4x+14x -3(3x -3) =4x + . The distributive property is applied correctly3. Like terms are combined correctly4. The variable is isolated correctly

STEP 2

First, let's identify the error. The error occurred in the application of the distributive property. The correct application of the distributive property to (x)-(x -) should be - \cdotx + (-) \cdot -.

STEP 3

Now, let's correct the error and apply the distributive property correctly.
14x3(3x3)=14x9x+914x -3(3x -3) =14x -9x +9

STEP 4

Next, combine like terms on the left side of the equation.
14x9x+9=x+914x -9x +9 =x +9

STEP 5

Now, let's isolate the variable xx by subtracting 4x4x and 99 from both sides of the equation.
5x+9=4x+2x=75x +9 =4x +2 \Rightarrow x = -7The correct solution is x=7x = -7.

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