QuestionSolve $3ax + 4ax = 5ax + 4$ for $x$ , given that $a \neq 0$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $3 a x+4 a x=5 a x+4$ . $a \neq0$

STEP 2

First, we simplify the equation by combining like terms on both sides. On the left side, we combine $a x$ and $4 a x$ .
$a x +4 a x =7 a x$

STEP 3

Now, we substitute the simplified left side back into the original equation.
$7 a x =5 a x +$

STEP 4

Next, we isolate the terms with $x$ on one side of the equation. We do this by subtracting $a x$ from both sides of the equation.
$7 a x - a x =4$

STEP 5

implify the left side of the equation.
$2 a x =4$

STEP 6

Now, we isolate $x$ by dividing both sides of the equation by $2 a$ .
$x = \frac{4}{2 a}$

STEP 7

Finally, we simplify the right side of the equation to find the value of $x$ .
$x = \frac{4}{2 a} = \frac{2}{a}$ So, the solution to the equation $3 a x+4 a x=5 a x+4$ for $x$ is $x = \frac{2}{a}$ .

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QuestionSolve $3ax + 4ax = 5ax + 4$ for $x$ , given that $a \neq 0$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $3 a x+4 a x=5 a x+4$ . $a \neq0$

STEP 2

First, we simplify the equation by combining like terms on both sides. On the left side, we combine $a x$ and $4 a x$ .
$a x +4 a x =7 a x$

STEP 3

Now, we substitute the simplified left side back into the original equation.
$7 a x =5 a x +$

STEP 4

Next, we isolate the terms with $x$ on one side of the equation. We do this by subtracting $a x$ from both sides of the equation.
$7 a x - a x =4$

STEP 5

implify the left side of the equation.
$2 a x =4$

STEP 6

Now, we isolate $x$ by dividing both sides of the equation by $2 a$ .
$x = \frac{4}{2 a}$

STEP 7

Finally, we simplify the right side of the equation to find the value of $x$ .
$x = \frac{4}{2 a} = \frac{2}{a}$ So, the solution to the equation $3 a x+4 a x=5 a x+4$ for $x$ is $x = \frac{2}{a}$ .

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QuestionSolve 3ax+4ax=5ax+43ax + 4ax = 5ax + 43ax+4ax=5ax+4 for xxx, given that a≠0a \neq 0a=0.

Studdy Solution

STEP 1

Assumptions1. The equation is 3ax+4ax=5ax+43 a x+4 a x=5 a x+43ax+4ax=5ax+4 . a≠0a \neq0a=0

STEP 2

First, we simplify the equation by combining like terms on both sides. On the left side, we combine ax a xax and 4ax4 a x4ax.ax+4ax=7ax a x +4 a x =7 a xax+4ax=7ax

STEP 3

Now, we substitute the simplified left side back into the original equation.7ax=5ax+7 a x =5 a x +7ax=5ax+

STEP 4

Next, we isolate the terms with xxx on one side of the equation. We do this by subtracting ax a xax from both sides of the equation.7ax−ax=47 a x - a x =47ax−ax=4

STEP 5

implify the left side of the equation.2ax=42 a x =42ax=4

STEP 6

Now, we isolate xxx by dividing both sides of the equation by 2a2 a2a.x=42ax = \frac{4}{2 a}x=2a4​

STEP 7

Finally, we simplify the right side of the equation to find the value of xxx.x=42a=2ax = \frac{4}{2 a} = \frac{2}{a}x=2a4​=a2​So, the solution to the equation 3ax+4ax=5ax+43 a x+4 a x=5 a x+43ax+4ax=5ax+4 for xxx is x=2ax = \frac{2}{a}x=a2​.

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QuestionSolve $3ax + 4ax = 5ax + 4$ for $x$ , given that $a \neq 0$ .

Assumptions1. The equation is $3 a x+4 a x=5 a x+4$ . $a \neq0$

First, we simplify the equation by combining like terms on both sides. On the left side, we combine $a x$ and $4 a x$ .
$a x +4 a x =7 a x$

Now, we substitute the simplified left side back into the original equation.
$7 a x =5 a x +$

Next, we isolate the terms with $x$ on one side of the equation. We do this by subtracting $a x$ from both sides of the equation.
$7 a x - a x =4$

implify the left side of the equation.
$2 a x =4$

Now, we isolate $x$ by dividing both sides of the equation by $2 a$ .
$x = \frac{4}{2 a}$

Finally, we simplify the right side of the equation to find the value of $x$ .
$x = \frac{4}{2 a} = \frac{2}{a}$ So, the solution to the equation $3 a x+4 a x=5 a x+4$ for $x$ is $x = \frac{2}{a}$ .