QuestionSolve the equation $-2(-2 x+3)-x-1=I-28$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $-(- x+3)-x-1=-28$ . The variable in the equation is $x$
3. The equation is a linear equation4. The goal is to solve for $x$

STEP 2

First, we need to simplify the equation. We can do this by distributing the $-2$ in the parentheses on the left side of the equation.
$-2(-2 x+)-x-1=-28$ becomes $4x -6 - x -1 = I -28$

STEP 3

Next, we combine like terms on the left side of the equation.
$x - x -6 -1 = I -28$ becomes $3x -7 = I -28$

STEP 4

Now, we need to isolate the variable $x$ on one side of the equation. We can do this by adding $7$ to both sides of the equation.
$3x -7 +7 = I -28 +7$ becomes $3x = I -21$

STEP 5

Finally, we solve for $x$ by dividing both sides of the equation by $3$ .
$\frac{3x}{3} = \frac{ -21}{3}$ becomes $x = \frac{ -21}{3}$ So, the solution to the equation $-2(-2 x+3)-x-1=-28$ is $x = \frac{ -21}{3}$ .

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