Question

2/5(x+2)+1/4=1/2(5-3x). Can someone please explain and show steps on how to solve.

Answer 1

PLEASE GIVE BEST RESPONSE. IT HELPS.
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P arentheses
E xponents
M ultiplication and
D ivision
A ddition and
S ubtraction

2/5(x + 2) + 1/4 = 1/2(5 - 3x)
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First lets do the parentheses using the distributive property.
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0.4x + 4/5 + 1/4 = 2.5 - 1.5x
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No Multiplication or Division so we go onto addition and
subtraction, but first we need to make 4/5 and 1/4 have
common denominators, which is 20.
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0.4x +16/20 + 5/20 = 2.5 - 1.5x
0.4x + 21/20 = 2.5 - 1.5x
0.4x + 1, 1/20 = 2.5 -1.5x
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Now we will add 1.5x to both sides of the equal sign.
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0.4x + 1, 1/20 = 2.5 -1.5x +1.5x
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This gets rid of the variable on one side (to make things simpler
i will also turn 1 1/20 into a decimal.
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1.9x + 1.05 = 2.5
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We will now subtract 1.05 from both sides
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1.9x + 1.05 - 1.05 = 2.5 - 1.05
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1.9x = 1.45
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Now we will divide 1.9 by both sides and your done :)
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1.9x/1.9 = 1.45/1.9

x = 0.76

Answer 2

awesome. Thank you.