QuestionSolve for $x$ : $2 x + 4 = -(-7 x + 6)$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $x +4 = -(-7x +6)$ . We are solving for $x$

STEP 2

First, we need to simplify the right side of the equation. We can do this by distributing the negative sign to each term inside the parentheses.
$2x +4 = -(-7x +6)$ $2x +4 =7x -6$

STEP 3

Next, we need to isolate the variable $x$ on one side of the equation. We can do this by subtracting $2x$ from both sides of the equation.
$2x -2x + =7x -2x -6$ $=5x -6$

STEP 4

Now, we need to isolate $x$ on one side of the equation. We can do this by adding $6$ to both sides of the equation.
$4 +6 =x -6 +6$ $10 =x$

STEP 5

Finally, we need to solve for $x$ . We can do this by dividing both sides of the equation by $5$ .
$\frac{10}{5} = \frac{5x}{5}$ $2 = x$ So, the solution to the equation $2x +4 = -(-7x +)$ is $x =2$ .

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QuestionSolve for $x$ : $2 x + 4 = -(-7 x + 6)$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $x +4 = -(-7x +6)$ . We are solving for $x$

STEP 2

First, we need to simplify the right side of the equation. We can do this by distributing the negative sign to each term inside the parentheses.
$2x +4 = -(-7x +6)$ $2x +4 =7x -6$

STEP 3

Next, we need to isolate the variable $x$ on one side of the equation. We can do this by subtracting $2x$ from both sides of the equation.
$2x -2x + =7x -2x -6$ $=5x -6$

STEP 4

Now, we need to isolate $x$ on one side of the equation. We can do this by adding $6$ to both sides of the equation.
$4 +6 =x -6 +6$ $10 =x$

STEP 5

Finally, we need to solve for $x$ . We can do this by dividing both sides of the equation by $5$ .
$\frac{10}{5} = \frac{5x}{5}$ $2 = x$ So, the solution to the equation $2x +4 = -(-7x +)$ is $x =2$ .

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QuestionSolve for xxx: 2x+4=−(−7x+6)2 x + 4 = -(-7 x + 6)2x+4=−(−7x+6).

Studdy Solution

STEP 1

Assumptions1. The equation is x+4=−(−7x+6)x +4 = -(-7x +6)x+4=−(−7x+6). We are solving for xxx

STEP 2

First, we need to simplify the right side of the equation. We can do this by distributing the negative sign to each term inside the parentheses.2x+4=−(−7x+6)2x +4 = -(-7x +6)2x+4=−(−7x+6)2x+4=7x−62x +4 =7x -62x+4=7x−6

STEP 3

Next, we need to isolate the variable xxx on one side of the equation. We can do this by subtracting 2x2x2x from both sides of the equation.2x−2x+=7x−2x−62x -2x + =7x -2x -62x−2x+=7x−2x−6=5x−6 =5x -6=5x−6

STEP 4

Now, we need to isolate xxx on one side of the equation. We can do this by adding 666 to both sides of the equation.4+6=x−6+64 +6 =x -6 +64+6=x−6+610=x10 =x10=x

STEP 5

Finally, we need to solve for xxx. We can do this by dividing both sides of the equation by 555.105=5x5\frac{10}{5} = \frac{5x}{5}510​=55x​2=x2 = x2=xSo, the solution to the equation 2x+4=−(−7x+)2x +4 = -(-7x +)2x+4=−(−7x+) is x=2x =2x=2.

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QuestionSolve for $x$ : $2 x + 4 = -(-7 x + 6)$ .

Assumptions1. The equation is $x +4 = -(-7x +6)$ . We are solving for $x$

First, we need to simplify the right side of the equation. We can do this by distributing the negative sign to each term inside the parentheses.
$2x +4 = -(-7x +6)$ $2x +4 =7x -6$

Next, we need to isolate the variable $x$ on one side of the equation. We can do this by subtracting $2x$ from both sides of the equation.
$2x -2x + =7x -2x -6$ $=5x -6$

Now, we need to isolate $x$ on one side of the equation. We can do this by adding $6$ to both sides of the equation.
$4 +6 =x -6 +6$ $10 =x$

Finally, we need to solve for $x$ . We can do this by dividing both sides of the equation by $5$ .
$\frac{10}{5} = \frac{5x}{5}$ $2 = x$ So, the solution to the equation $2x +4 = -(-7x +)$ is $x =2$ .