Question 664079
{{{4x+7(x-7)=6x-19}}} Start with the given equation.



{{{4x+7x-49=6x-19}}} Distribute.



{{{11x-49=6x-19}}} Combine like terms on the left side.



{{{11x=6x-19+49}}} Add {{{49}}} to both sides.



{{{11x-6x=-19+49}}} Subtract {{{6x}}} from both sides.



{{{5x=-19+49}}} Combine like terms on the left side.



{{{5x=30}}} Combine like terms on the right side.



{{{x=(30)/(5)}}} Divide both sides by {{{5}}} to isolate {{{x}}}.



{{{x=6}}} Reduce.



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Answer:


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