Question 56016
{{{ 2x-(4x +3)<6x +3(x+4) }}}
Distribute the -1 on the left and the +3 on the right
{{{ 2x -4x -3 < 6x +3x +12 }}}
Combine like terms on each side
{{{ -2x -3 < 3x + 12 }}}
add 2x to both sides
{{{ -2x + 2x -3 < 3x +2x + 12 }}}
Combine like terms
{{{ -3 < 5x +12 }}}
subtract 12 from both sides
{{{ -3 -12 < 5x +12 -12 }}}
Combine like terms
{{{ -15 < 5x }}}
Divide by 5
{{{ -3 < x }}}
Flip Flop the WHOLE inequality
{{{ x > -3 }}}