Solve for x
x = -\frac{212}{81} = -2\frac{50}{81} \approx -2.617283951
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4\left(9x-1\right)-13\left(5x-8\right)=52x+312
Multiply both sides of the equation by 52, the least common multiple of 13,4.
36x-4-13\left(5x-8\right)=52x+312
Use the distributive property to multiply 4 by 9x-1.
36x-4-65x+104=52x+312
Use the distributive property to multiply -13 by 5x-8.
-29x-4+104=52x+312
Combine 36x and -65x to get -29x.
-29x+100=52x+312
Add -4 and 104 to get 100.
-29x+100-52x=312
Subtract 52x from both sides.
-81x+100=312
Combine -29x and -52x to get -81x.
-81x=312-100
Subtract 100 from both sides.
-81x=212
Subtract 100 from 312 to get 212.
x=\frac{212}{-81}
Divide both sides by -81.
x=-\frac{212}{81}
Fraction \frac{212}{-81} can be rewritten as -\frac{212}{81} by extracting the negative sign.
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