Solve for x
x=\frac{28}{33}\approx 0.848484848
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\left(7x-4\right)\times 5=\left(x+4\right)\times 2
Variable x cannot be equal to any of the values -4,\frac{4}{7} since division by zero is not defined. Multiply both sides of the equation by \left(7x-4\right)\left(x+4\right), the least common multiple of x+4,7x-4.
35x-20=\left(x+4\right)\times 2
Use the distributive property to multiply 7x-4 by 5.
35x-20=2x+8
Use the distributive property to multiply x+4 by 2.
35x-20-2x=8
Subtract 2x from both sides.
33x-20=8
Combine 35x and -2x to get 33x.
33x=8+20
Add 20 to both sides.
33x=28
Add 8 and 20 to get 28.
x=\frac{28}{33}
Divide both sides by 33.
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