Solve for x
x = \frac{49}{36} = 1\frac{13}{36} \approx 1.361111111
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20\left(3x-4\right)+15\left(4x+2\right)=12\left(4x+4\right)
Multiply both sides of the equation by 60, the least common multiple of 3,4,5.
60x-80+15\left(4x+2\right)=12\left(4x+4\right)
Use the distributive property to multiply 20 by 3x-4.
60x-80+60x+30=12\left(4x+4\right)
Use the distributive property to multiply 15 by 4x+2.
120x-80+30=12\left(4x+4\right)
Combine 60x and 60x to get 120x.
120x-50=12\left(4x+4\right)
Add -80 and 30 to get -50.
120x-50=48x+48
Use the distributive property to multiply 12 by 4x+4.
120x-50-48x=48
Subtract 48x from both sides.
72x-50=48
Combine 120x and -48x to get 72x.
72x=48+50
Add 50 to both sides.
72x=98
Add 48 and 50 to get 98.
x=\frac{98}{72}
Divide both sides by 72.
x=\frac{49}{36}
Reduce the fraction \frac{98}{72} to lowest terms by extracting and canceling out 2.
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