Question 627960
{{{5(x-2)=3x+8}}}
{{{5x-10=3x+8}}} (Distribute)
Subtract 3x from both sides
{{{5x-10-3x=3x+8-3x}}}
{{{5x-3x-10=3x-3x+8}}} combine like terms
{{{2x-10=cross(3x)-cross(3x)+8}}}
{{{2x-10=8}}}
Add 10 both sides
{{{2x-10+10=8+10}}}
{{{2x-cross(10)+cross(10)=18}}}
{{{2x=18}}}
Divide by 2 both sides
{{{2x/2=18/2}}}
{{{cross(2)x/cross(2)=cross(18)/cross(2)}}}
{{{x=9}}}


Check
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{{{5(x-2)=3x+8}}}
Put {{{x=9}}}
{{{5(9-2)=3(9)+8}}}
{{{5(7)=27+8}}}
{{{35=35}}}