Question Solve for x in the linear equation $12-12x=-6x+48$ .

Studdy Solution

STEP 1

Assumptions
1. The equation to solve is $12 - 12x = -6x + 48$ .
2. We will use algebraic methods to isolate the variable $x$ and solve for it.

STEP 2

First, we need to get all the $x$ terms on one side of the equation and the constant terms on the other side. We can do this by adding $12x$ to both sides of the equation.
$12 - 12x + 12x = -6x + 48 + 12x$

STEP 3

Simplify both sides of the equation by combining like terms.
$12 = 6x + 48$

STEP 4

Next, we need to isolate the $x$ term by getting rid of the constant on the same side as $x$ . We can do this by subtracting $48$ from both sides of the equation.
$12 - 48 = 6x + 48 - 48$

STEP 5

Simplify both sides of the equation.
$-36 = 6x$

STEP 6

Now, we will solve for $x$ by dividing both sides of the equation by $6$ .
$\frac{-36}{6} = \frac{6x}{6}$

STEP 7

Calculate the value of $x$ .
$x = -6$
The solution to the equation $12 - 12x = -6x + 48$ is $x = -6$ .

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