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4(x − 7) = 0.3(x + 2) + 2.11

2 Answers

1 vote

Explanation:


4(x-7)=0.3(x+2)+2.11\\\\Distribute\\\\4x+28=0.3(x+2)+2.11\\\\Distribute\\\\4x+28=0.3x+0.6+2.11\\\\Combine\\like\\terms\\\\4x+28=0.3x+2.71\\\\Subtract\\\\3.7x+28=2.71\\\\Subtract\\\\3.7x=-25.29\\\\Divide\\\\x=\tex{ about }6.83513514

Hope it helps <3

User GSP
by
7.8k points
4 votes

Answer:

x = 83/10=8^3/10=8.3

Explanation:

4(x − 7) = 0.3(x + 2) + 2.11

Use the distributive property to multiply 4 by x−7.

4x−28=0.3(x+2)+2.11

Use the distributive property to multiply 0.3 by x+2.

4x−28=0.3x+0.6+2.11

Add 0.6 and 2.11 to get 2.71.

4x−28=0.3x+2.71

Subtract 0.3x from both sides.

4x−28−0.3x=2.71

Combine 4x and −0.3x to get 3.7x.

3.7x−28=2.71

Add 28 to both sides.

3.7x=2.71+28

Add 2.71 and 28 to get 30.71.

3.7x=30.71

Divide both sides by 3.7.

x= 3071/370

Expand 3.7/30.71≈8.3 by multiplying both numerator and the denominator by 100.

x = 83/10

User Pash
by
7.9k points

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