Question 602893
{{{10(2x-3)-2(3x+4)=4(x-1)+16}}} Start with the given equation.



{{{20x-30-6x-8=4x-4+16}}} Distribute.



{{{14x-38=4x-4+16}}} Combine like terms on the left side.



{{{14x-38=4x+12}}} Combine like terms on the right side.



{{{14x=4x+12+38}}} Add {{{38}}} to both sides.



{{{14x-4x=12+38}}} Subtract {{{4x}}} from both sides.



{{{10x=12+38}}} Combine like terms on the left side.



{{{10x=50}}} Combine like terms on the right side.



{{{x=(50)/(10)}}} Divide both sides by {{{10}}} to isolate {{{x}}}.



{{{x=5}}} Reduce.



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Answer:


So the solution is {{{x=5}}}