What is the answer to 1/3*(x-2)+1/4*(x+3)= 1/5*(x+4)+15 ?

The answer to 1/3*(x-2)+1/4*(x+3)= 1/5*(x+4)+15 is x=41

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1/3(x-2)+1/4(x+3)= 1/5*(x+4)+15

Solution

\frac{1}{3} \cdot (x - 2) + \frac{1}{4} \cdot (x + 3) = \frac{1}{5} \cdot (x + 4) + 15

Solution

x = 41

Solution steps

\frac{1}{3} (x - 2) + \frac{1}{4} (x + 3) = \frac{1}{5} (x + 4) + 15

Expand

\frac{1}{3} (x - 2) + \frac{1}{4} (x + 3) : \frac{7 x}{12} + \frac{1}{12}

Expand

\frac{1}{5} (x + 4) + 15 : \frac{79}{5} + \frac{1}{5} x

\frac{7 x}{12} + \frac{1}{12} = \frac{79}{5} + \frac{1}{5} x

Move

\frac{1}{12}

to the right side

\frac{7 x}{12} = \frac{943}{60} + \frac{1}{5} x

Move

\frac{1}{5} x

to the left side

\frac{23 x}{60} = \frac{943}{60}

Multiply both sides by

60

23 x = 943

Divide both sides by

23

x = 41

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solvefor a,160a+100b=64 solve for

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Frequently Asked Questions (FAQ)

What is the answer to 1/3*(x-2)+1/4*(x+3)= 1/5*(x+4)+15 ?
The answer to 1/3*(x-2)+1/4*(x+3)= 1/5*(x+4)+15 is x=41
Solve for x: 1/3*(x-2)+1/4*(x+3)= 1/5*(x+4)+15
The solution is x=41

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to 1/3(x-2)+1/4(x+3)= 1/5*(x+4)+15 ?

Solve for x: 1/3(x-2)+1/4(x+3)= 1/5*(x+4)+15

1/3*(x-2)+1/4*(x+3)= 1/5*(x+4)+15

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to 1/3*(x-2)+1/4*(x+3)= 1/5*(x+4)+15 ?

Solve for x: 1/3*(x-2)+1/4*(x+3)= 1/5*(x+4)+15

1/3(x-2)+1/4(x+3)= 1/5*(x+4)+15

What is the answer to 1/3(x-2)+1/4(x+3)= 1/5*(x+4)+15 ?

Solve for x: 1/3(x-2)+1/4(x+3)= 1/5*(x+4)+15