Question 676536
1.{{{(1/4) + x = (1/2) - (1/3)}}}
Multiply the entire equation by 12 (LCM of 2,3 and 4)
{{{12(1/4) + 12(x) = 12(1/2) - 12(1/3)}}}
3 + 12x = 6 - 4
Isolate the x variable
12x = 2 - 3
12x = -1
Divide both sides by 12
x = {{{-1/12}}}
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2. {{{1 - 1/2 + m = 3/4 + 1/2}}}
Multiply the entire equation by 4 (LCM of 2 and 4)
{{{4(1) - 4(1/2) + 4m = 4(3/4) + 4(1/2)}}}
4 - 2 + 4m = 3 + 2
Isolate the m variable
4m = 5 - 4 + 2
4m = 3
m = {{{3/4}}}
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3.  3x + 5 = 5x + 17
Group the x variables on the left alone
3x - 5x = 17 - 5
combine the like terms
-2x = 12
divide both sides by -2
x = -6
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4.  9y-2= -10 + y
Group the y variables on the left side alone
9y - y = -10 + 2
8y = -8
divide both sides by 8
y = -1
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5. 5(y-1) = 3y+7
distribute the 5
5y - 5 = 3y + 7
Group the y variable on the left side alone
5y - 3y = 7 + 5
2y = 12
divide both sides by 2
y = 6
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