Question 424174
{{{ 2*(3x+1)=4*(x-1) }}}
Expand the left side by multiplying 
each term in the parentheses by {{{2}}}
{{{ 6x + 2 = 4*(x - 1) }}}
Do the same thing to the right side
{{{ 6x + 2 = 4x - 4 }}}
Subtract {{{2}}} from both sides
{{{ 6x = 4x - 6 }}}
Subtract {{{4x}}} from both sides
{{{ 2x = -6 }}}
Divide both sides by {{{2}}}
{{{ x = -3 }}} answer
Now I can check the answer:
{{{ 2*(3x+1)=4*(x-1) }}}
{{{ 2*(3*(-3) + 1)=4*(-3-1) }}}
{{{ 2*( -9 + 1) = 4*(-4) }}}
{{{2*(-8) = 4*(-4) }}}
{{{ -16 = -16 }}}
OK