QuestionSolve the equation: $14 x - 3(3 x - 3) = 4 x + 2$ .

Studdy Solution

STEP 1

Assumptions1. The given equation is $14x -3(3x -3) =4x +$ . We are solving for the variable $x$

STEP 2

We start by simplifying the equation. First, distribute the $-$ to both terms in the parentheses on the left side of the equation.
$14x -(x -) =14x -x +$

STEP 3

implify the multiplication.
$14x -9x +9 =x +2$

STEP 4

Combine like terms on the left side of the equation.
$x +9 =4x +2$

STEP 5

Subtract $4x$ from both sides of the equation to isolate $x$ on one side.
$5x -4x +9 =2$

STEP 6

implify the left side of the equation.
$x +9 =2$

STEP 7

Subtract $9$ from both sides of the equation to solve for $x$ .
$x =2 -9$

STEP 8

Calculate the value of $x$ .
$x = -7$ The solution to the equation $14x -3(3x -3) =4x +2$ is $x = -7$ .

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QuestionSolve the equation: $14 x - 3(3 x - 3) = 4 x + 2$ .

Studdy Solution

STEP 1

Assumptions1. The given equation is $14x -3(3x -3) =4x +$ . We are solving for the variable $x$

STEP 2

We start by simplifying the equation. First, distribute the $-$ to both terms in the parentheses on the left side of the equation.
$14x -(x -) =14x -x +$

STEP 3

implify the multiplication.
$14x -9x +9 =x +2$

STEP 4

Combine like terms on the left side of the equation.
$x +9 =4x +2$

STEP 5

Subtract $4x$ from both sides of the equation to isolate $x$ on one side.
$5x -4x +9 =2$

STEP 6

implify the left side of the equation.
$x +9 =2$

STEP 7

Subtract $9$ from both sides of the equation to solve for $x$ .
$x =2 -9$

STEP 8

Calculate the value of $x$ .
$x = -7$ The solution to the equation $14x -3(3x -3) =4x +2$ is $x = -7$ .

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QuestionSolve the equation: 14x−3(3x−3)=4x+214 x - 3(3 x - 3) = 4 x + 214x−3(3x−3)=4x+2.

Studdy Solution

STEP 1

Assumptions1. The given equation is 14x−3(3x−3)=4x+14x -3(3x -3) =4x +14x−3(3x−3)=4x+ . We are solving for the variable xxx

STEP 2

We start by simplifying the equation. First, distribute the −-− to both terms in the parentheses on the left side of the equation.14x−(x−)=14x−∗x+∗14x -(x -) =14x -*x +*14x−(x−)=14x−∗x+∗

STEP 3

implify the multiplication.14x−9x+9=x+214x -9x +9 =x +214x−9x+9=x+2

STEP 4

Combine like terms on the left side of the equation.x+9=4x+2x +9 =4x +2x+9=4x+2

STEP 5

Subtract 4x4x4x from both sides of the equation to isolate xxx on one side.5x−4x+9=25x -4x +9 =25x−4x+9=2

STEP 6

implify the left side of the equation.x+9=2x +9 =2x+9=2

STEP 7

Subtract 999 from both sides of the equation to solve for xxx.x=2−9x =2 -9x=2−9

STEP 8

Calculate the value of xxx.x=−7x = -7x=−7The solution to the equation 14x−3(3x−3)=4x+214x -3(3x -3) =4x +214x−3(3x−3)=4x+2 is x=−7x = -7x=−7.

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QuestionSolve the equation: $14 x - 3(3 x - 3) = 4 x + 2$ .

Assumptions1. The given equation is $14x -3(3x -3) =4x +$ . We are solving for the variable $x$

We start by simplifying the equation. First, distribute the $-$ to both terms in the parentheses on the left side of the equation.
$14x -(x -) =14x -x +$

implify the multiplication.
$14x -9x +9 =x +2$

Combine like terms on the left side of the equation.
$x +9 =4x +2$

Subtract $4x$ from both sides of the equation to isolate $x$ on one side.
$5x -4x +9 =2$

implify the left side of the equation.
$x +9 =2$

Subtract $9$ from both sides of the equation to solve for $x$ .
$x =2 -9$

Calculate the value of $x$ .
$x = -7$ The solution to the equation $14x -3(3x -3) =4x +2$ is $x = -7$ .