Solve for x
x=\frac{38}{49}\approx 0.775510204
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12\left(3x+4\right)=10\left(x-2\right)+15\left(5x+2\right)
Multiply both sides of the equation by 60, the least common multiple of 5,6,4.
36x+48=10\left(x-2\right)+15\left(5x+2\right)
Use the distributive property to multiply 12 by 3x+4.
36x+48=10x-20+15\left(5x+2\right)
Use the distributive property to multiply 10 by x-2.
36x+48=10x-20+75x+30
Use the distributive property to multiply 15 by 5x+2.
36x+48=85x-20+30
Combine 10x and 75x to get 85x.
36x+48=85x+10
Add -20 and 30 to get 10.
36x+48-85x=10
Subtract 85x from both sides.
-49x+48=10
Combine 36x and -85x to get -49x.
-49x=10-48
Subtract 48 from both sides.
-49x=-38
Subtract 48 from 10 to get -38.
x=\frac{-38}{-49}
Divide both sides by -49.
x=\frac{38}{49}
Fraction \frac{-38}{-49} can be simplified to \frac{38}{49} by removing the negative sign from both the numerator and the denominator.
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