QuestionSolve the equation $4(4x-5)=5(x+6)+3$ and express your answer as an integer, fraction, or decimal (2 decimal places).

Studdy Solution

STEP 1

Assumptions1. The equation to solve is $4(4x-5)=5(x+6)+3$ . We are solving for the variable $x$
3. We will use standard algebraic operations to solve the equation

STEP 2

First, we need to distribute the4 on the left side of the equation and the5 on the right side of the equation.
$4(4x-5)=5(x+6)+ \Rightarrow16x -20 =5x +30 +$

STEP 3

implify the right side of the equation.
$16x -20 =5x +33$

STEP 4

Now, we need to isolate the variable $x$ . We can do this by subtracting $x$ from both sides of the equation.
$16x -x =33 +20$

STEP 5

implify both sides of the equation.
$11x =53$

STEP 6

Finally, to solve for $x$ , divide both sides of the equation by11.
$x = \frac{53}{11}$ So, the solution to the equation $4(4x-5)=5(x+6)+3$ is $x = \frac{53}{11}$ .

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QuestionSolve the equation $4(4x-5)=5(x+6)+3$ and express your answer as an integer, fraction, or decimal (2 decimal places).

Studdy Solution

STEP 1

Assumptions1. The equation to solve is $4(4x-5)=5(x+6)+3$ . We are solving for the variable $x$
3. We will use standard algebraic operations to solve the equation

STEP 2

First, we need to distribute the4 on the left side of the equation and the5 on the right side of the equation.
$4(4x-5)=5(x+6)+ \Rightarrow16x -20 =5x +30 +$

STEP 3

implify the right side of the equation.
$16x -20 =5x +33$

STEP 4

Now, we need to isolate the variable $x$ . We can do this by subtracting $x$ from both sides of the equation.
$16x -x =33 +20$

STEP 5

implify both sides of the equation.
$11x =53$

STEP 6

Finally, to solve for $x$ , divide both sides of the equation by11.
$x = \frac{53}{11}$ So, the solution to the equation $4(4x-5)=5(x+6)+3$ is $x = \frac{53}{11}$ .

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QuestionSolve the equation 4(4x−5)=5(x+6)+34(4x-5)=5(x+6)+34(4x−5)=5(x+6)+3 and express your answer as an integer, fraction, or decimal (2 decimal places).

Studdy Solution

STEP 1

Assumptions1. The equation to solve is 4(4x−5)=5(x+6)+34(4x-5)=5(x+6)+34(4x−5)=5(x+6)+3 . We are solving for the variable xxx3. We will use standard algebraic operations to solve the equation

STEP 2

First, we need to distribute the4 on the left side of the equation and the5 on the right side of the equation.4(4x−5)=5(x+6)+⇒16x−20=5x+30+4(4x-5)=5(x+6)+ \Rightarrow16x -20 =5x +30 +4(4x−5)=5(x+6)+⇒16x−20=5x+30+

STEP 3

implify the right side of the equation.16x−20=5x+3316x -20 =5x +3316x−20=5x+33

STEP 4

Now, we need to isolate the variable xxx. We can do this by subtracting xxx from both sides of the equation.16x−x=33+2016x -x =33 +2016x−x=33+20

STEP 5

implify both sides of the equation.11x=5311x =5311x=53

STEP 6

Finally, to solve for xxx, divide both sides of the equation by11.x=5311x = \frac{53}{11}x=1153​So, the solution to the equation 4(4x−5)=5(x+6)+34(4x-5)=5(x+6)+34(4x−5)=5(x+6)+3 is x=5311x = \frac{53}{11}x=1153​.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSolve the equation $4(4x-5)=5(x+6)+3$ and express your answer as an integer, fraction, or decimal (2 decimal places).

Assumptions1. The equation to solve is $4(4x-5)=5(x+6)+3$ . We are solving for the variable $x$
3. We will use standard algebraic operations to solve the equation

First, we need to distribute the4 on the left side of the equation and the5 on the right side of the equation.
$4(4x-5)=5(x+6)+ \Rightarrow16x -20 =5x +30 +$

implify the right side of the equation.
$16x -20 =5x +33$

Now, we need to isolate the variable $x$ . We can do this by subtracting $x$ from both sides of the equation.
$16x -x =33 +20$

implify both sides of the equation.
$11x =53$

Finally, to solve for $x$ , divide both sides of the equation by11.
$x = \frac{53}{11}$ So, the solution to the equation $4(4x-5)=5(x+6)+3$ is $x = \frac{53}{11}$ .