Question 678793
{{{10-4x+9=3x-14+5(2x-3)}}} Start with the given equation.



{{{10-4x+9=3x-14+10x-15}}} Distribute.



{{{-4x+19=3x-14+10x-15}}} Combine like terms on the left side.



{{{-4x+19=13x-29}}} Combine like terms on the right side.



{{{-4x=13x-29-19}}} Subtract {{{19}}} from both sides.



{{{-4x-13x=-29-19}}} Subtract {{{13x}}} from both sides.



{{{-17x=-29-19}}} Combine like terms on the left side.



{{{-17x=-48}}} Combine like terms on the right side.



{{{x=(-48)/(-17)}}} Divide both sides by {{{-17}}} to isolate {{{x}}}.



{{{x=48/17}}} Reduce.



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Answer:


So the solution is {{{x=48/17}}}