QuestionSolve the equation: $5(3-x)+2(3-x)=14$ .

Studdy Solution

STEP 1

Assumptions1. The equation given is $5(3-x)+(3-x)=14$ . We are solving for the variable $x$

STEP 2

First, distribute the $5$ and $2$ through the parentheses on the left side of the equation.
$5(-x)+2(-x) =5* -5x +2 -2*x$

STEP 3

Calculate the multiplication to simplify the equation.
$15 -5x +6 -2x =14$

STEP 4

Combine like terms on the left side of the equation.
$21 -7x =14$

STEP 5

Now, isolate the term with $x$ by subtracting $21$ from both sides of the equation.
$-7x =14 -21$

STEP 6

Calculate the subtraction on the right side of the equation.
$-x = -$

STEP 7

Finally, solve for $x$ by dividing both sides of the equation by $-7$ .
$x = -7 / -7$

STEP 8

Calculate the division to find the value of $x$ .
$x =1$ So, the solution to the equation $5(3-x)+2(3-x)=14$ is $x =1$ .

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QuestionSolve the equation: $5(3-x)+2(3-x)=14$ .

Studdy Solution

STEP 1

Assumptions1. The equation given is $5(3-x)+(3-x)=14$ . We are solving for the variable $x$

STEP 2

First, distribute the $5$ and $2$ through the parentheses on the left side of the equation.
$5(-x)+2(-x) =5* -5x +2 -2*x$

STEP 3

Calculate the multiplication to simplify the equation.
$15 -5x +6 -2x =14$

STEP 4

Combine like terms on the left side of the equation.
$21 -7x =14$

STEP 5

Now, isolate the term with $x$ by subtracting $21$ from both sides of the equation.
$-7x =14 -21$

STEP 6

Calculate the subtraction on the right side of the equation.
$-x = -$

STEP 7

Finally, solve for $x$ by dividing both sides of the equation by $-7$ .
$x = -7 / -7$

STEP 8

Calculate the division to find the value of $x$ .
$x =1$ So, the solution to the equation $5(3-x)+2(3-x)=14$ is $x =1$ .

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QuestionSolve the equation: 5(3−x)+2(3−x)=145(3-x)+2(3-x)=145(3−x)+2(3−x)=14.

Studdy Solution

STEP 1

Assumptions1. The equation given is 5(3−x)+(3−x)=145(3-x)+(3-x)=145(3−x)+(3−x)=14 . We are solving for the variable xxx

STEP 2

First, distribute the 555 and 222 through the parentheses on the left side of the equation.5(−x)+2(−x)=5∗−5∗x+2∗−2∗x5(-x)+2(-x) =5* -5*x +2* -2*x5(−x)+2(−x)=5∗−5∗x+2∗−2∗x

STEP 3

Calculate the multiplication to simplify the equation.15−5x+6−2x=1415 -5x +6 -2x =1415−5x+6−2x=14

STEP 4

Combine like terms on the left side of the equation.21−7x=1421 -7x =1421−7x=14

STEP 5

Now, isolate the term with xxx by subtracting 212121 from both sides of the equation.−7x=14−21-7x =14 -21−7x=14−21

STEP 6

Calculate the subtraction on the right side of the equation.−x=−-x = -−x=−

STEP 7

Finally, solve for xxx by dividing both sides of the equation by −7-7−7.x=−7/−7x = -7 / -7x=−7/−7

STEP 8

Calculate the division to find the value of xxx.x=1x =1x=1So, the solution to the equation 5(3−x)+2(3−x)=145(3-x)+2(3-x)=145(3−x)+2(3−x)=14 is x=1x =1x=1.

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QuestionSolve the equation: $5(3-x)+2(3-x)=14$ .

Assumptions1. The equation given is $5(3-x)+(3-x)=14$ . We are solving for the variable $x$

First, distribute the $5$ and $2$ through the parentheses on the left side of the equation.
$5(-x)+2(-x) =5* -5x +2 -2*x$

Calculate the multiplication to simplify the equation.
$15 -5x +6 -2x =14$

Combine like terms on the left side of the equation.
$21 -7x =14$

Now, isolate the term with $x$ by subtracting $21$ from both sides of the equation.
$-7x =14 -21$

Calculate the subtraction on the right side of the equation.
$-x = -$

Finally, solve for $x$ by dividing both sides of the equation by $-7$ .
$x = -7 / -7$

Calculate the division to find the value of $x$ .
$x =1$ So, the solution to the equation $5(3-x)+2(3-x)=14$ is $x =1$ .