Solve for x
x = \frac{34}{9} = 3\frac{7}{9} \approx 3.777777778
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\left(7x-2\right)\times 7=\left(2x+8\right)\times 11
Variable x cannot be equal to any of the values -4,\frac{2}{7} since division by zero is not defined. Multiply both sides of the equation by 2\left(7x-2\right)\left(x+4\right), the least common multiple of 2x+8,7x-2.
49x-14=\left(2x+8\right)\times 11
Use the distributive property to multiply 7x-2 by 7.
49x-14=22x+88
Use the distributive property to multiply 2x+8 by 11.
49x-14-22x=88
Subtract 22x from both sides.
27x-14=88
Combine 49x and -22x to get 27x.
27x=88+14
Add 14 to both sides.
27x=102
Add 88 and 14 to get 102.
x=\frac{102}{27}
Divide both sides by 27.
x=\frac{34}{9}
Reduce the fraction \frac{102}{27} to lowest terms by extracting and canceling out 3.
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