Question 313152
{{{3(x-2)+7=5+4x }}}
Distribute the {{{3}}}.
{{{3x-6+7=5+4x}}}
Combine like terms on the left hand side.
{{{3x+1=5+4x}}}
To get rid of the {{{1}}} on the left side, subtract {{{1}}} from both sides.
{{{3x+1-1=5+4x-1}}}
{{{3x+0=4x+4}}}
{{{3x=4x+4}}}
To get rid of the {{{4x}}} from the right side, subtract {{{4x}}} from both sides.
{{{3x-4x=4x-4x+4}}}
{{{-x=0+4}}}
{{{-x=4}}}
Multiply both sides by (-1)
{{{-(-x)=-4}}}
{{{highlight( x=-4 )}}}
Verify the solution using the original equation.
{{{3(x-2)+7=5+4x }}}
{{{3(-4-2)+7=5+4(-4) }}}
{{{3(-6)+7=5-16}}}
{{{-18+7=-11}}}
{{{-11=-11}}}
True statement, good solution.