Question Solve the linear equation $10x + 8(10x - 6) = 0$ for $x$ .

Studdy Solution

STEP 1

Assumptions1. The equation to solve is $10x +8(10x -6)$ . We are solving for the variable $x$

STEP 2

First, we need to distribute the $8$ to both terms inside the parentheses.
$10x +8(10x -6) =10x +80x -48$

STEP 3

Now, we simplify the equation by combining like terms.
$10x +80x -48 =90x -48$

STEP 4

The equation is now in the form $ax = b$ , where $a$ is the coefficient of $x$ and $b$ is a constant. To solve for $x$ , we need to isolate $x$ by dividing both sides of the equation by $a$ .
$x = \frac{b}{a}$

STEP 5

Plug in the values for $a$ and $b$ from our equation $90x -48$ to solve for $x$ .
$x = \frac{48}{90}$

STEP 6

implify the fraction to get the value of $x$ .
$x = \frac{48}{90} = \frac{8}{15}$ The solution to the equation $10x +8(10x -6)$ is $x = \frac{8}{15}$ .

Was this helpful?

Question Solve the linear equation $10x + 8(10x - 6) = 0$ for $x$ .

Studdy Solution

STEP 1

Assumptions1. The equation to solve is $10x +8(10x -6)$ . We are solving for the variable $x$

STEP 2

First, we need to distribute the $8$ to both terms inside the parentheses.
$10x +8(10x -6) =10x +80x -48$

STEP 3

Now, we simplify the equation by combining like terms.
$10x +80x -48 =90x -48$

STEP 4

The equation is now in the form $ax = b$ , where $a$ is the coefficient of $x$ and $b$ is a constant. To solve for $x$ , we need to isolate $x$ by dividing both sides of the equation by $a$ .
$x = \frac{b}{a}$

STEP 5

Plug in the values for $a$ and $b$ from our equation $90x -48$ to solve for $x$ .
$x = \frac{48}{90}$

STEP 6

implify the fraction to get the value of $x$ .
$x = \frac{48}{90} = \frac{8}{15}$ The solution to the equation $10x +8(10x -6)$ is $x = \frac{8}{15}$ .

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.

Question Solve the linear equation 10x+8(10x−6)=010x + 8(10x - 6) = 010x+8(10x−6)=0 for xxx.

Studdy Solution

STEP 1

Assumptions1. The equation to solve is 10x+8(10x−6)10x +8(10x -6)10x+8(10x−6). We are solving for the variable xxx

STEP 2

First, we need to distribute the 888 to both terms inside the parentheses.10x+8(10x−6)=10x+80x−4810x +8(10x -6) =10x +80x -4810x+8(10x−6)=10x+80x−48

STEP 3

Now, we simplify the equation by combining like terms.10x+80x−48=90x−4810x +80x -48 =90x -4810x+80x−48=90x−48

STEP 4

The equation is now in the form ax=bax = bax=b, where aaa is the coefficient of xxx and bbb is a constant. To solve for xxx, we need to isolate xxx by dividing both sides of the equation by aaa.x=bax = \frac{b}{a}x=ab​

STEP 5

Plug in the values for aaa and bbb from our equation 90x−4890x -4890x−48 to solve for xxx.x=4890x = \frac{48}{90}x=9048​

STEP 6

implify the fraction to get the value of xxx.x=4890=815x = \frac{48}{90} = \frac{8}{15}x=9048​=158​The solution to the equation 10x+8(10x−6)10x +8(10x -6)10x+8(10x−6) is x=815x = \frac{8}{15}x=158​.

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.

Question Solve the linear equation $10x + 8(10x - 6) = 0$ for $x$ .

Assumptions1. The equation to solve is $10x +8(10x -6)$ . We are solving for the variable $x$

First, we need to distribute the $8$ to both terms inside the parentheses.
$10x +8(10x -6) =10x +80x -48$

Now, we simplify the equation by combining like terms.
$10x +80x -48 =90x -48$

The equation is now in the form $ax = b$ , where $a$ is the coefficient of $x$ and $b$ is a constant. To solve for $x$ , we need to isolate $x$ by dividing both sides of the equation by $a$ .
$x = \frac{b}{a}$

Plug in the values for $a$ and $b$ from our equation $90x -48$ to solve for $x$ .
$x = \frac{48}{90}$

implify the fraction to get the value of $x$ .
$x = \frac{48}{90} = \frac{8}{15}$ The solution to the equation $10x +8(10x -6)$ is $x = \frac{8}{15}$ .