Question 177095


{{{2(2x-7)-5=4(3x-6)+9}}} Start with the given equation.



{{{4x-14-5=12x-24+9}}} Distribute.



{{{4x-19=12x-24+9}}} Combine like terms on the left side.



{{{4x-19=12x-15}}} Combine like terms on the right side.



{{{4x=12x-15+19}}} Add {{{19}}} to both sides.



{{{4x-12x=-15+19}}} Subtract {{{12x}}} from both sides.



{{{-8x=-15+19}}} Combine like terms on the left side.



{{{-8x=4}}} Combine like terms on the right side.



{{{x=(4)/(-8)}}} Divide both sides by {{{-8}}} to isolate {{{x}}}.



{{{x=-1/2}}} Reduce.



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Answer:


So the answer is {{{x=-1/2}}}.