Question 282943
{{{ (4x -6) / 2 = -3x + 2 }}}
.
{{{ 2x -3 = -3x + 2 }}}
.
Add 3x to both sides...
{{{ 2x + 3x - 3 = -3x + 3x + 2 }}}
{{{ 5x -3 = 2 }}}
.
Add 3 to both sides
{{{ 5x -3 +3 = 2 + 3 }}}
{{{ 5x = 5 }}}
.
Divide both sides by 5
{{{ 5x/5 = 5/5 }}} 
{{{ x = 1 }}}
.
Check...
.
{{{ (4x -6) / 2  = -3x +2 }}}
{{{ (4(1) -6) / 2  = -3(1) +2 }}}
{{{ (4 -6) / 2  = -3 +2 }}}
{{{ -2 / 2  = -1 }}}
Correct
.
Answer:  x=1
.
Done