Solve for x
x=-\frac{49}{72}\approx -0.680555556
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4\left(13+21x\right)=3\left(4x+1\right)
Variable x cannot be equal to -\frac{1}{4} since division by zero is not defined. Multiply both sides of the equation by 4\left(4x+1\right), the least common multiple of 4x+1,4.
52+84x=3\left(4x+1\right)
Use the distributive property to multiply 4 by 13+21x.
52+84x=12x+3
Use the distributive property to multiply 3 by 4x+1.
52+84x-12x=3
Subtract 12x from both sides.
52+72x=3
Combine 84x and -12x to get 72x.
72x=3-52
Subtract 52 from both sides.
72x=-49
Subtract 52 from 3 to get -49.
x=\frac{-49}{72}
Divide both sides by 72.
x=-\frac{49}{72}
Fraction \frac{-49}{72} can be rewritten as -\frac{49}{72} by extracting the negative sign.
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