Question 702437
{{{(7/2)x-19=-13+2x}}} Start with the given equation.



{{{2((7/cross(2))x-19)=2(-13+2x)}}} Multiply both sides by the LCD {{{2}}} to clear any fractions.



{{{7x-38=-26+4x}}} Distribute and multiply.



{{{7x=-26+4x+38}}} Add {{{38}}} to both sides.



{{{7x-4x=-26+38}}} Subtract {{{4x}}} from both sides.



{{{3x=-26+38}}} Combine like terms on the left side.



{{{3x=12}}} Combine like terms on the right side.



{{{x=(12)/(3)}}} Divide both sides by {{{3}}} to isolate {{{x}}}.



{{{x=4}}} Reduce.



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Answer:


So the solution is {{{x=4}}}