QuestionSolve the equation: $4(3 x-8)-1=12 x-36$ .

Studdy Solution

STEP 1

Assumptions1. The given equation is $4(3x-8)-1=12x-36$ . We are solving for the variable $x$

STEP 2

We start by expanding the left side of the equation, by distributing the $4$ into the parentheses.
$4(x-8)-1 =4x -48 -1$

STEP 3

Calculate the values to simplify the left side of the equation.
$12x -32 -1$

STEP 4

Combine like terms on the left side of the equation.
$12x -33$

STEP 5

Now, the equation is simplified to $12x -33 =12x -36$

STEP 6

To solve for $x$ , we can subtract $12x$ from both sides of the equation to get rid of the $x$ term on one side.
$(12x -33) -12x = (12x -36) -12x$

STEP 7

implify both sides of the equation.
$-33 = -36$

STEP 8

We see that the equation is not true, so there is no solution for $x$ that will satisfy the original equation.
The solution is that there is no solution.

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QuestionSolve the equation: $4(3 x-8)-1=12 x-36$ .

Studdy Solution

STEP 1

Assumptions1. The given equation is $4(3x-8)-1=12x-36$ . We are solving for the variable $x$

STEP 2

We start by expanding the left side of the equation, by distributing the $4$ into the parentheses.
$4(x-8)-1 =4x -48 -1$

STEP 3

Calculate the values to simplify the left side of the equation.
$12x -32 -1$

STEP 4

Combine like terms on the left side of the equation.
$12x -33$

STEP 5

Now, the equation is simplified to $12x -33 =12x -36$

STEP 6

To solve for $x$ , we can subtract $12x$ from both sides of the equation to get rid of the $x$ term on one side.
$(12x -33) -12x = (12x -36) -12x$

STEP 7

implify both sides of the equation.
$-33 = -36$

STEP 8

We see that the equation is not true, so there is no solution for $x$ that will satisfy the original equation.
The solution is that there is no solution.

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QuestionSolve the equation: 4(3x−8)−1=12x−364(3 x-8)-1=12 x-364(3x−8)−1=12x−36.

Studdy Solution

STEP 1

Assumptions1. The given equation is 4(3x−8)−1=12x−364(3x-8)-1=12x-364(3x−8)−1=12x−36 . We are solving for the variable xxx

STEP 2

We start by expanding the left side of the equation, by distributing the 444 into the parentheses.4(x−8)−1=4∗x−4∗8−14(x-8)-1 =4*x -4*8 -14(x−8)−1=4∗x−4∗8−1

STEP 3

Calculate the values to simplify the left side of the equation.12x−32−112x -32 -112x−32−1

STEP 4

Combine like terms on the left side of the equation.12x−3312x -3312x−33

STEP 5

Now, the equation is simplified to12x−33=12x−3612x -33 =12x -3612x−33=12x−36

STEP 6

To solve for xxx, we can subtract 12x12x12x from both sides of the equation to get rid of the xxx term on one side.(12x−33)−12x=(12x−36)−12x(12x -33) -12x = (12x -36) -12x(12x−33)−12x=(12x−36)−12x

STEP 7

implify both sides of the equation.−33=−36-33 = -36−33=−36

STEP 8

We see that the equation is not true, so there is no solution for xxx that will satisfy the original equation.The solution is that there is no solution.

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QuestionSolve the equation: $4(3 x-8)-1=12 x-36$ .

Assumptions1. The given equation is $4(3x-8)-1=12x-36$ . We are solving for the variable $x$

We start by expanding the left side of the equation, by distributing the $4$ into the parentheses.
$4(x-8)-1 =4x -48 -1$

Calculate the values to simplify the left side of the equation.
$12x -32 -1$

Combine like terms on the left side of the equation.
$12x -33$

Now, the equation is simplified to $12x -33 =12x -36$

To solve for $x$ , we can subtract $12x$ from both sides of the equation to get rid of the $x$ term on one side.
$(12x -33) -12x = (12x -36) -12x$

implify both sides of the equation.
$-33 = -36$

We see that the equation is not true, so there is no solution for $x$ that will satisfy the original equation.
The solution is that there is no solution.