QuestionSolve the equation $3(x-4)=2(-2 x+1)$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $3(x-4)=(- x+1)$ . We are solving for the variable $x$

STEP 2

We start by expanding both sides of the equation.
$x -12 = -4x +2$

STEP 3

Next, we want to isolate the variable $x$ on one side of the equation. We can do this by adding $x$ to both sides.
$3x +x =2 +12$

STEP 4

implify the left side of the equation by combining like terms.
$7x =2 +12$

STEP 5

implify the right side of the equation by performing the addition.
$7x =14$

STEP 6

Finally, we can solve for $x$ by dividing both sides of the equation by $$.
$x =14 /$

STEP 7

Perform the division to find the value of $x$ .
$x =2$ So, the solution to the equation $3(x-4)=2(-2 x+1)$ is $x =2$ .

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QuestionSolve the equation $3(x-4)=2(-2 x+1)$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $3(x-4)=(- x+1)$ . We are solving for the variable $x$

STEP 2

We start by expanding both sides of the equation.
$x -12 = -4x +2$

STEP 3

Next, we want to isolate the variable $x$ on one side of the equation. We can do this by adding $x$ to both sides.
$3x +x =2 +12$

STEP 4

implify the left side of the equation by combining like terms.
$7x =2 +12$

STEP 5

implify the right side of the equation by performing the addition.
$7x =14$

STEP 6

Finally, we can solve for $x$ by dividing both sides of the equation by $$.
$x =14 /$

STEP 7

Perform the division to find the value of $x$ .
$x =2$ So, the solution to the equation $3(x-4)=2(-2 x+1)$ is $x =2$ .

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QuestionSolve the equation 3(x−4)=2(−2x+1)3(x-4)=2(-2 x+1)3(x−4)=2(−2x+1).

Studdy Solution

STEP 1

Assumptions1. The equation is 3(x−4)=(−x+1)3(x-4)=(- x+1)3(x−4)=(−x+1). We are solving for the variable xxx

STEP 2

We start by expanding both sides of the equation.x−12=−4x+2x -12 = -4x +2x−12=−4x+2

STEP 3

Next, we want to isolate the variable xxx on one side of the equation. We can do this by adding xxx to both sides.3x+x=2+123x +x =2 +123x+x=2+12

STEP 4

implify the left side of the equation by combining like terms.7x=2+127x =2 +127x=2+12

STEP 5

implify the right side of the equation by performing the addition.7x=147x =147x=14

STEP 6

Finally, we can solve for xxx by dividing both sides of the equation by $$.x=14/x =14 /x=14/

STEP 7

Perform the division to find the value of xxx.x=2x =2x=2So, the solution to the equation 3(x−4)=2(−2x+1)3(x-4)=2(-2 x+1)3(x−4)=2(−2x+1) is x=2x =2x=2.

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QuestionSolve the equation $3(x-4)=2(-2 x+1)$ .

Assumptions1. The equation is $3(x-4)=(- x+1)$ . We are solving for the variable $x$

We start by expanding both sides of the equation.
$x -12 = -4x +2$

Next, we want to isolate the variable $x$ on one side of the equation. We can do this by adding $x$ to both sides.
$3x +x =2 +12$

implify the left side of the equation by combining like terms.
$7x =2 +12$

implify the right side of the equation by performing the addition.
$7x =14$

Finally, we can solve for $x$ by dividing both sides of the equation by $$.
$x =14 /$

Perform the division to find the value of $x$ .
$x =2$ So, the solution to the equation $3(x-4)=2(-2 x+1)$ is $x =2$ .