Question

Carlton is solving a linear equation using the steps shown. Equation: Negative 4 x + 12 = negative 6 x Step 1: Add 4x to both sides: 12 = negative 6 x + 4 x Step 2: Combine like terms: 12 = negative 2 x What is the next step he needs to complete in order to solve the equation? Add –2 to both sides of the equation. Subtract –2 from both sides of the equation. Multiply each side of the equation by –2. Divide each side of the equation by –2.

Answer 1

$Given \: linear \: equation : -4x+12 = - 6x$

/* Add (4x) bothsides of the equation,we get*/

$\implies -4x+12+4x = -6x + 4x$

$\implies 12 = -2x$

$\blue{ Divide \: each \:side \:of \:the }\\\blue{ equation\: by \:(-2) , we \:get }$

$\implies \frac{12}{-2} = \frac{-2x}{-2}$

$\implies -6 = x$

Therefore.,

$\red{ Value \: of\: x }\green { = -6}$

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