Question 613692
{{{3x+2(x+4)=5(x+1)+3}}} Start with the given equation.



{{{3x+2x+8=5x+5+3}}} Distribute.



{{{5x+8=5x+5+3}}} Combine like terms on the left side.



{{{5x+8=5x+8}}} Combine like terms on the right side.



{{{5x=5x+8-8}}} Subtract {{{8}}} from both sides.



{{{5x-5x=8-8}}} Subtract {{{5x}}} from both sides.



{{{0x=8-8}}} Combine like terms on the left side.



{{{0x=0}}} Combine like terms on the right side.



{{{0=0}}} Simplify.



Since this equation is <font size=4><b>always</b></font> true for any x value, this means x can equal any number. So there are an infinite number of solutions.



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