Solve for x
x = \frac{107}{36} = 2\frac{35}{36} \approx 2.972222222
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21\left(2x-3\right)-2\left(3x+1\right)=42
Multiply both sides of the equation by 42, the least common multiple of 2,21.
42x-63-2\left(3x+1\right)=42
Use the distributive property to multiply 21 by 2x-3.
42x-63-6x-2=42
Use the distributive property to multiply -2 by 3x+1.
36x-63-2=42
Combine 42x and -6x to get 36x.
36x-65=42
Subtract 2 from -63 to get -65.
36x=42+65
Add 65 to both sides.
36x=107
Add 42 and 65 to get 107.
x=\frac{107}{36}
Divide both sides by 36.
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