Question 314877
{{{ 2((1/2)x + (3/2)) - 7/2 = (3/2)(x + 1) - ((1/2)x + 2)}}}
Multiply both sides by 2.
{{{ 4((1/2)x + (3/2)) - 7 = 3(x + 1) - 2((1/2)x + 2)}}}
Distribute the 4 on the left hand side.
{{{ (4(1/2)x + 4(3/2)) - 7 = 3(x + 1) - 2((1/2)x + 2)}}}
Simplify
{{{ (2x + 6) - 7 = 3(x + 1) - 2((1/2)x + 2)}}}
{{{ 2x -1 = 3(x + 1) - 2((1/2)x + 2)}}}
Distribute the 3 and 2 on the right hand side.
{{{ 2x -1 = (3x + 3) - (2(1/2)x + 4)}}}
{{{ 2x -1 = (3x + 3) - (x + 4)}}}
Distribute the (-1) on the right hand side.
{{{ 2x -1 = (3x + 3) + (-x - 4)}}}
{{{ 2x -1 = (3x-x) + (3-4)}}}
{{{2x-1=2x-1}}}
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It was probably that first step (multiplying by 2) that threw you off.