Question 55482
6.2(x - 15.1) = 9.3(-x - 3.2)
:
Mult what's inside the brackets first:
6.2x - 93.62 = -9.3x - 29.76
:
If decimals bother you, mult eq by 100 to get rid of them,
620x - 9362 = -930x - 2976
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Perform the necessary operations to get the variable on the left and the numerical values on the right:
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Add 9362 to both sides:
620x = -930x - 2976 + 9362
:
Add 930x to both sides, add the numerical values
620x + 930x =  + 6386
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Add the x's
1550x = 6386
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Divide both sides by 1550
x = 6386/1550
:
x = 4.12
:
:
Check our solution by substituting 4.12 for x in the original equation:
6.2(x - 15.1) = 9.3(-x - 3.2)
:
6.2(4.12 - 15.1`) = 9.3(-4.12 -3.2)
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Do the math inside the brackets and you have:
6.2(-10.98) = 9.3(-7.32)
:
-68.076 = -68.076  confirms our solution of x = 4.12. 
:
A good idea to always check your solution in the original equation.