QuestionSolve for $x$ in the equation: $3(x+1)-4(x+3)=-11$ . Find $x=$

Studdy Solution

STEP 1

Assumptions1. We are given the equation $3(x+1)-4(x+3)=-11$ . We are solving for $x$

STEP 2

First, we need to distribute the and -4 inside the brackets.
$(x+1)-4(x+) =x + -4x -12$

STEP 3

Next, we simplify the equation by combining like terms on the left side.
$3x -x +3 -12 = -x -9$

STEP 4

We are given that $-x -9 = -11$ . We can add9 to both sides of the equation to isolate $-x$ on the left side.
$-x -9 +9 = -11 +9$ $-x = -2$

STEP 5

Finally, we multiply both sides of the equation by -1 to solve for $x$ .
$-1(-x) = -1(-2)$ $x =2$ So, the solution to the equation $3(x+1)-4(x+3)=-11$ is $x=2$ .

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QuestionSolve for $x$ in the equation: $3(x+1)-4(x+3)=-11$ . Find $x=$

Studdy Solution

STEP 1

Assumptions1. We are given the equation $3(x+1)-4(x+3)=-11$ . We are solving for $x$

STEP 2

First, we need to distribute the and -4 inside the brackets.
$(x+1)-4(x+) =x + -4x -12$

STEP 3

Next, we simplify the equation by combining like terms on the left side.
$3x -x +3 -12 = -x -9$

STEP 4

We are given that $-x -9 = -11$ . We can add9 to both sides of the equation to isolate $-x$ on the left side.
$-x -9 +9 = -11 +9$ $-x = -2$

STEP 5

Finally, we multiply both sides of the equation by -1 to solve for $x$ .
$-1(-x) = -1(-2)$ $x =2$ So, the solution to the equation $3(x+1)-4(x+3)=-11$ is $x=2$ .

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QuestionSolve for xxx in the equation: 3(x+1)−4(x+3)=−113(x+1)-4(x+3)=-113(x+1)−4(x+3)=−11. Find x=x=x=

Studdy Solution

STEP 1

Assumptions1. We are given the equation 3(x+1)−4(x+3)=−113(x+1)-4(x+3)=-113(x+1)−4(x+3)=−11 . We are solving for xxx

STEP 2

First, we need to distribute the and -4 inside the brackets.(x+1)−4(x+)=x+−4x−12(x+1)-4(x+) =x + -4x -12(x+1)−4(x+)=x+−4x−12

STEP 3

Next, we simplify the equation by combining like terms on the left side.3x−x+3−12=−x−93x -x +3 -12 = -x -93x−x+3−12=−x−9

STEP 4

We are given that −x−9=−11-x -9 = -11−x−9=−11. We can add9 to both sides of the equation to isolate −x-x−x on the left side.−x−9+9=−11+9-x -9 +9 = -11 +9−x−9+9=−11+9−x=−2-x = -2−x=−2

STEP 5

Finally, we multiply both sides of the equation by -1 to solve for xxx.−1(−x)=−1(−2)-1(-x) = -1(-2)−1(−x)=−1(−2)x=2x =2x=2So, the solution to the equation 3(x+1)−4(x+3)=−113(x+1)-4(x+3)=-113(x+1)−4(x+3)=−11 is x=2x=2x=2.

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QuestionSolve for $x$ in the equation: $3(x+1)-4(x+3)=-11$ . Find $x=$

Assumptions1. We are given the equation $3(x+1)-4(x+3)=-11$ . We are solving for $x$

First, we need to distribute the and -4 inside the brackets.
$(x+1)-4(x+) =x + -4x -12$

Next, we simplify the equation by combining like terms on the left side.
$3x -x +3 -12 = -x -9$

We are given that $-x -9 = -11$ . We can add9 to both sides of the equation to isolate $-x$ on the left side.
$-x -9 +9 = -11 +9$ $-x = -2$

Finally, we multiply both sides of the equation by -1 to solve for $x$ .
$-1(-x) = -1(-2)$ $x =2$ So, the solution to the equation $3(x+1)-4(x+3)=-11$ is $x=2$ .