Question 318433
{{{(3/5)(x+4)+(1/2)x=x+3}}} Start with the given equation.



{{{(3/5)x+12/5+(1/2)x=x+3}}} Distribute.



{{{10((3/cross(5))x+12/cross(5)+(1/cross(2))x)=10(x+3)}}} Multiply both sides by the LCD {{{10}}} to clear any fractions.



{{{6x+24+5x=10x+30}}} Distribute and multiply.



{{{11x+24=10x+30}}} Combine like terms on the left side.



{{{11x=10x+30-24}}} Subtract {{{24}}} from both sides.



{{{11x-10x=30-24}}} Subtract {{{10x}}} from both sides.



{{{x=30-24}}} Combine like terms on the left side.



{{{x=6}}} Combine like terms on the right side.



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Answer:


So the solution is {{{x=6}}}