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3 years ago

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

Mathematics

2 answers:

Travka [436]3 years ago

7 0

Answer:

x=46/17

Step-by-step explanation:

Let's solve your equation step-by-step.

3/ 4 (x−2)+ 1/ 3 (2x+5)=4

Step 1: Simplify both sides of the equation.

3/ 4 (x−2)+ 1/ 3 (2x+5)=4

( 3/ 4 )(x)+( 3/ 4 )(−2)+( 1/ 3 )(2x)+( 1/ 3 )(5)=4 (Distribute)

3/ 4x+ −3/ 2 + 2/ 3 x+ 5/ 3 =4

( 3/ 4 x+ 2/ 3 x)+( −3/ 2 + 5/ 3 )=4 (Combine Like Terms)

17/ 12 x+ 1/ 6 =4

Step 2: Subtract 1/6 from both sides.

17/ 12 x+ 1/ 6 − 1/ 6 =4− 1/ 6

17/ 12 x= 23/ 6

Step 3: Multiply both sides by 12/17.

( 12/ 17 )*( 17/ 12 x)=( 12/ 17 )*( 23/ 6 )

x= 46/ 17

torisob [31]3 years ago

3 0

Answer:

X=86/17

Step-by-step explanation:

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Change the messy words into numerals
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3n - 2 = 13
take 2 to the other side
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Divide by 3 on either sides to isolate n
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3 and 3 cancels out

n = 5

check:
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3   × 5 - 2 = 13
15 - 2 = 13
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3/4(x-2)+1/3(2x+5)=4​

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