Solve for x
x=-\frac{1}{11}\approx -0.090909091
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28\left(2x-3\right)+35\left(x+3\right)=20\left(4x+1\right)
Multiply both sides of the equation by 140, the least common multiple of 5,4,7.
56x-84+35\left(x+3\right)=20\left(4x+1\right)
Use the distributive property to multiply 28 by 2x-3.
56x-84+35x+105=20\left(4x+1\right)
Use the distributive property to multiply 35 by x+3.
91x-84+105=20\left(4x+1\right)
Combine 56x and 35x to get 91x.
91x+21=20\left(4x+1\right)
Add -84 and 105 to get 21.
91x+21=80x+20
Use the distributive property to multiply 20 by 4x+1.
91x+21-80x=20
Subtract 80x from both sides.
11x+21=20
Combine 91x and -80x to get 11x.
11x=20-21
Subtract 21 from both sides.
11x=-1
Subtract 21 from 20 to get -1.
x=\frac{-1}{11}
Divide both sides by 11.
x=-\frac{1}{11}
Fraction \frac{-1}{11} can be rewritten as -\frac{1}{11} by extracting the negative sign.
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