Question 663168
{{{2(2x+1)-3x=5(3x-2)+4x}}} Start with the given equation.



{{{4x+2-3x=15x-10+4x}}} Distribute.



{{{x+2=15x-10+4x}}} Combine like terms on the left side.



{{{x+2=19x-10}}} Combine like terms on the right side.



{{{x=19x-10-2}}} Subtract {{{2}}} from both sides.



{{{x-19x=-10-2}}} Subtract {{{19x}}} from both sides.



{{{-18x=-10-2}}} Combine like terms on the left side.



{{{-18x=-12}}} Combine like terms on the right side.



{{{x=(-12)/(-18)}}} Divide both sides by {{{-18}}} to isolate {{{x}}}.



{{{x=2/3}}} Reduce.



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Answer:


So the solution is {{{x=2/3}}}