QuestionSolve the equation: $3 x - 6 = 5 x + 8$

Studdy Solution

STEP 1

Assumptions1. The equation is $3x -6 =5x +8$ . The goal is to solve for $x$

STEP 2

First, we need to isolate $x$ terms on one side of the equation and constant terms on the other side. Let's start by subtracting $x$ from both sides of the equation.
$x -6 -x =5x +8 -x$

STEP 3

implify the equation.
$-6 =2x +8$

STEP 4

Now, let's isolate $x$ by subtracting $8$ from both sides of the equation.
$-6 -8 =2x +8 -8$

STEP 5

implify the equation.
$-14 =2x$

STEP 6

Finally, divide both sides of the equation by $2$ to solve for $x$ .
$\frac{-14}{2} = \frac{2x}{2}$

STEP 7

implify the equation to find the solution for $x$ .
$x = -7$ So, the solution to the equation $3x -6 =5x +$ is $x = -7$ .

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QuestionSolve the equation: $3 x - 6 = 5 x + 8$

Studdy Solution

STEP 1

Assumptions1. The equation is $3x -6 =5x +8$ . The goal is to solve for $x$

STEP 2

First, we need to isolate $x$ terms on one side of the equation and constant terms on the other side. Let's start by subtracting $x$ from both sides of the equation.
$x -6 -x =5x +8 -x$

STEP 3

implify the equation.
$-6 =2x +8$

STEP 4

Now, let's isolate $x$ by subtracting $8$ from both sides of the equation.
$-6 -8 =2x +8 -8$

STEP 5

implify the equation.
$-14 =2x$

STEP 6

Finally, divide both sides of the equation by $2$ to solve for $x$ .
$\frac{-14}{2} = \frac{2x}{2}$

STEP 7

implify the equation to find the solution for $x$ .
$x = -7$ So, the solution to the equation $3x -6 =5x +$ is $x = -7$ .

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QuestionSolve the equation: 3x−6=5x+83 x - 6 = 5 x + 83x−6=5x+8

Studdy Solution

STEP 1

Assumptions1. The equation is 3x−6=5x+83x -6 =5x +83x−6=5x+8 . The goal is to solve for xxx

STEP 2

First, we need to isolate xxx terms on one side of the equation and constant terms on the other side. Let's start by subtracting xxx from both sides of the equation.x−6−x=5x+8−xx -6 -x =5x +8 -xx−6−x=5x+8−x

STEP 3

implify the equation.−6=2x+8-6 =2x +8−6=2x+8

STEP 4

Now, let's isolate xxx by subtracting 888 from both sides of the equation.−6−8=2x+8−8-6 -8 =2x +8 -8−6−8=2x+8−8

STEP 5

implify the equation.−14=2x-14 =2x−14=2x

STEP 6

Finally, divide both sides of the equation by 222 to solve for xxx.−142=2x2\frac{-14}{2} = \frac{2x}{2}2−14​=22x​

STEP 7

implify the equation to find the solution for xxx.x=−7x = -7x=−7So, the solution to the equation 3x−6=5x+3x -6 =5x +3x−6=5x+ is x=−7x = -7x=−7.

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QuestionSolve the equation: $3 x - 6 = 5 x + 8$

Assumptions1. The equation is $3x -6 =5x +8$ . The goal is to solve for $x$

First, we need to isolate $x$ terms on one side of the equation and constant terms on the other side. Let's start by subtracting $x$ from both sides of the equation.
$x -6 -x =5x +8 -x$

implify the equation.
$-6 =2x +8$

Now, let's isolate $x$ by subtracting $8$ from both sides of the equation.
$-6 -8 =2x +8 -8$

implify the equation.
$-14 =2x$

Finally, divide both sides of the equation by $2$ to solve for $x$ .
$\frac{-14}{2} = \frac{2x}{2}$

implify the equation to find the solution for $x$ .
$x = -7$ So, the solution to the equation $3x -6 =5x +$ is $x = -7$ .