QuestionSolve the equation: $5x + 8(x - 6) = 5(x - 8)$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $5x +8(x -6) =5(x -8)$ . We are solving for the variable $x$

STEP 2

First, distribute the $5$ and $8$ on the left side of the equation and the $5$ on the right side of the equation.
$5x +8x -48 =5x -40$

STEP 3

Combine like terms on both sides of the equation.
$13x -48 =5x -40$

STEP 4

Subtract $x$ from both sides of the equation to get the $x$ terms on one side.
$13x -x =x -x +48 +40$

STEP 5

implify the equation.
$8x =8$

STEP 6

Divide both sides of the equation by $8$ to solve for $x$ .
$x = \frac{8}{8}$

STEP 7

implify to find the value of $x$ .
$x =1$ So, the solution to the equation $5x +(x -6) =5(x -)$ is $x =1$ .

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QuestionSolve the equation: $5x + 8(x - 6) = 5(x - 8)$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $5x +8(x -6) =5(x -8)$ . We are solving for the variable $x$

STEP 2

First, distribute the $5$ and $8$ on the left side of the equation and the $5$ on the right side of the equation.
$5x +8x -48 =5x -40$

STEP 3

Combine like terms on both sides of the equation.
$13x -48 =5x -40$

STEP 4

Subtract $x$ from both sides of the equation to get the $x$ terms on one side.
$13x -x =x -x +48 +40$

STEP 5

implify the equation.
$8x =8$

STEP 6

Divide both sides of the equation by $8$ to solve for $x$ .
$x = \frac{8}{8}$

STEP 7

implify to find the value of $x$ .
$x =1$ So, the solution to the equation $5x +(x -6) =5(x -)$ is $x =1$ .

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QuestionSolve the equation: 5x+8(x−6)=5(x−8)5x + 8(x - 6) = 5(x - 8)5x+8(x−6)=5(x−8).

Studdy Solution

STEP 1

Assumptions1. The equation is 5x+8(x−6)=5(x−8)5x +8(x -6) =5(x -8)5x+8(x−6)=5(x−8). We are solving for the variable xxx

STEP 2

First, distribute the 555 and 888 on the left side of the equation and the 555 on the right side of the equation.5x+8x−48=5x−405x +8x -48 =5x -405x+8x−48=5x−40

STEP 3

Combine like terms on both sides of the equation.13x−48=5x−4013x -48 =5x -4013x−48=5x−40

STEP 4

Subtract xxx from both sides of the equation to get the xxx terms on one side.13x−x=x−x+48+4013x -x =x -x +48 +4013x−x=x−x+48+40

STEP 5

implify the equation.8x=88x =88x=8

STEP 6

Divide both sides of the equation by 888 to solve for xxx.x=88x = \frac{8}{8}x=88​

STEP 7

implify to find the value of xxx.x=1x =1x=1So, the solution to the equation 5x+(x−6)=5(x−)5x +(x -6) =5(x -)5x+(x−6)=5(x−) is x=1x =1x=1.

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QuestionSolve the equation: $5x + 8(x - 6) = 5(x - 8)$ .

Assumptions1. The equation is $5x +8(x -6) =5(x -8)$ . We are solving for the variable $x$

First, distribute the $5$ and $8$ on the left side of the equation and the $5$ on the right side of the equation.
$5x +8x -48 =5x -40$

Combine like terms on both sides of the equation.
$13x -48 =5x -40$

Subtract $x$ from both sides of the equation to get the $x$ terms on one side.
$13x -x =x -x +48 +40$

implify the equation.
$8x =8$

Divide both sides of the equation by $8$ to solve for $x$ .
$x = \frac{8}{8}$

implify to find the value of $x$ .
$x =1$ So, the solution to the equation $5x +(x -6) =5(x -)$ is $x =1$ .