Question 114432


{{{6x-4x+1=12+2x-11}}} Start with the given equation




{{{2x+1=12+2x-11}}} Combine like terms on the left side



{{{2x+1=2x+1}}} Combine like terms on the right side



{{{2x=2x+1-1}}}Subtract 1 from both sides



{{{2x-2x=1-1}}} Subtract 2x from both sides



{{{0x=1-1}}} Combine like terms on the left side



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



{{{0=0}}} Simplify


Since this equation is always true for any x value, this means x can equal any number. So there are an infinite number of solutions.