QuestionSolve the equation: $-2(x-2)=-3-2 x$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $-(x-)=-3- x$ . We are solving for $x$

STEP 2

First, we need to distribute the $-2$ on the left side of the equation.
$-2(x-2) = -2x +4$

STEP 3

Now, we substitute $-2x +$ back into the equation.
$-2x + = -3 -2x$

STEP 4

We can see that $-2x$ is on both sides of the equation, so we can subtract $-2x$ from both sides to simplify the equation.
$4 = -3$

STEP 5

This is a contradiction, because $4$ is not equal to $-3$ . Therefore, the original equation has no solution.

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QuestionSolve the equation: $-2(x-2)=-3-2 x$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $-(x-)=-3- x$ . We are solving for $x$

STEP 2

First, we need to distribute the $-2$ on the left side of the equation.
$-2(x-2) = -2x +4$

STEP 3

Now, we substitute $-2x +$ back into the equation.
$-2x + = -3 -2x$

STEP 4

We can see that $-2x$ is on both sides of the equation, so we can subtract $-2x$ from both sides to simplify the equation.
$4 = -3$

STEP 5

This is a contradiction, because $4$ is not equal to $-3$ . Therefore, the original equation has no solution.

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QuestionSolve the equation: −2(x−2)=−3−2x-2(x-2)=-3-2 x−2(x−2)=−3−2x.

Studdy Solution

STEP 1

Assumptions1. The equation is −(x−)=−3−x-(x-)=-3- x−(x−)=−3−x . We are solving for xxx

STEP 2

First, we need to distribute the −2-2−2 on the left side of the equation.−2(x−2)=−2x+4-2(x-2) = -2x +4−2(x−2)=−2x+4

STEP 3

Now, we substitute −2x+-2x +−2x+ back into the equation.−2x+=−3−2x-2x + = -3 -2x−2x+=−3−2x

STEP 4

We can see that −2x-2x−2x is on both sides of the equation, so we can subtract −2x-2x−2x from both sides to simplify the equation.4=−34 = -34=−3

STEP 5

This is a contradiction, because 444 is not equal to −3-3−3. Therefore, the original equation has no solution.

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QuestionSolve the equation: $-2(x-2)=-3-2 x$ .

Assumptions1. The equation is $-(x-)=-3- x$ . We are solving for $x$

First, we need to distribute the $-2$ on the left side of the equation.
$-2(x-2) = -2x +4$

Now, we substitute $-2x +$ back into the equation.
$-2x + = -3 -2x$

We can see that $-2x$ is on both sides of the equation, so we can subtract $-2x$ from both sides to simplify the equation.
$4 = -3$

This is a contradiction, because $4$ is not equal to $-3$ . Therefore, the original equation has no solution.