Question 685329
Multiply the entire equation by 8 (LCM of 4 and 2)
{{{8(-3/4)x + 8(2) = 8(1/2)x + 8(6)}}}
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{{{2cross(8)(-3/cross(4))x + 16 = 4cross(8)(1/cross(2))x + 48}}}
-6x + 16 = 4x + 48
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Group x variables
-6x-4x = 48 - 16
-10x = 32
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Divide both sides by -10
{{{-10x/-10 = 32/-10}}}
x= {{{-32/10}}}
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Check:(-3/4)x+2=(1/2)x+6
{{{(-3/4)(-32/10) + 2 = (1/2)(-32/10)+6}}}
{{{24/10 + 2(10/10) = -32/20 + 6(20/20)}}}
{{{44/10 = 88/20}}}
{{{22/5 = 22/5}}} correct!
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