QuestionSolve the equation: $5(2x - 10) - 3(2x - 10) = 4$ .

Studdy Solution

STEP 1

Assumptions1. The equation given is $5( x-10)-3( x-10)=4$ . We are solving for the variable $x$

STEP 2

First, we need to distribute the $5$ and $-$ to the terms inside the parentheses.
$5(2x -10) -(2x -10) =4$

STEP 3

Perform the distribution.
$10x -50 -6x +30 =$

STEP 4

Combine like terms on the left side of the equation.
$4x -20 =4$

STEP 5

To isolate the variable $x$ , we need to get rid of the $-20$ on the left side. We can do this by adding $20$ to both sides of the equation.
$4x -20 +20 =4 +20$

STEP 6

implify both sides of the equation.
$4x =24$

STEP 7

Finally, to solve for $x$ , we divide both sides of the equation by $4$ .
$x =24 /4$

STEP 8

Calculate the value of $x$ .
$x =6$ So, the solution to the equation is $x =6$ .

Was this helpful?

QuestionSolve the equation: $5(2x - 10) - 3(2x - 10) = 4$ .

Studdy Solution

STEP 1

Assumptions1. The equation given is $5( x-10)-3( x-10)=4$ . We are solving for the variable $x$

STEP 2

First, we need to distribute the $5$ and $-$ to the terms inside the parentheses.
$5(2x -10) -(2x -10) =4$

STEP 3

Perform the distribution.
$10x -50 -6x +30 =$

STEP 4

Combine like terms on the left side of the equation.
$4x -20 =4$

STEP 5

To isolate the variable $x$ , we need to get rid of the $-20$ on the left side. We can do this by adding $20$ to both sides of the equation.
$4x -20 +20 =4 +20$

STEP 6

implify both sides of the equation.
$4x =24$

STEP 7

Finally, to solve for $x$ , we divide both sides of the equation by $4$ .
$x =24 /4$

STEP 8

Calculate the value of $x$ .
$x =6$ So, the solution to the equation is $x =6$ .

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSolve the equation: 5(2x−10)−3(2x−10)=45(2x - 10) - 3(2x - 10) = 45(2x−10)−3(2x−10)=4.

Studdy Solution

STEP 1

Assumptions1. The equation given is 5(x−10)−3(x−10)=45( x-10)-3( x-10)=45(x−10)−3(x−10)=4 . We are solving for the variable xxx

STEP 2

First, we need to distribute the 555 and −-− to the terms inside the parentheses.5(2x−10)−(2x−10)=45(2x -10) -(2x -10) =45(2x−10)−(2x−10)=4

STEP 3

Perform the distribution.10x−50−6x+30=10x -50 -6x +30 =10x−50−6x+30=

STEP 4

Combine like terms on the left side of the equation.4x−20=44x -20 =44x−20=4

STEP 5

To isolate the variable xxx, we need to get rid of the −20-20−20 on the left side. We can do this by adding 202020 to both sides of the equation.4x−20+20=4+204x -20 +20 =4 +204x−20+20=4+20

STEP 6

implify both sides of the equation.4x=244x =244x=24

STEP 7

Finally, to solve for xxx, we divide both sides of the equation by 444.x=24/4x =24 /4x=24/4

STEP 8

Calculate the value of xxx.x=6x =6x=6So, the solution to the equation is x=6x =6x=6.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSolve the equation: $5(2x - 10) - 3(2x - 10) = 4$ .

Assumptions1. The equation given is $5( x-10)-3( x-10)=4$ . We are solving for the variable $x$

First, we need to distribute the $5$ and $-$ to the terms inside the parentheses.
$5(2x -10) -(2x -10) =4$

Perform the distribution.
$10x -50 -6x +30 =$

Combine like terms on the left side of the equation.
$4x -20 =4$

To isolate the variable $x$ , we need to get rid of the $-20$ on the left side. We can do this by adding $20$ to both sides of the equation.
$4x -20 +20 =4 +20$

implify both sides of the equation.
$4x =24$

Finally, to solve for $x$ , we divide both sides of the equation by $4$ .
$x =24 /4$

Calculate the value of $x$ .
$x =6$ So, the solution to the equation is $x =6$ .