Solve for x
x = \frac{56}{11} = 5\frac{1}{11} \approx 5.090909091
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15\left(x-6\right)-10\left(x-4\right)=6\left(1-x\right)
Multiply both sides of the equation by 60, the least common multiple of 4,6,10.
15x-90-10\left(x-4\right)=6\left(1-x\right)
Use the distributive property to multiply 15 by x-6.
15x-90-10x+40=6\left(1-x\right)
Use the distributive property to multiply -10 by x-4.
5x-90+40=6\left(1-x\right)
Combine 15x and -10x to get 5x.
5x-50=6\left(1-x\right)
Add -90 and 40 to get -50.
5x-50=6-6x
Use the distributive property to multiply 6 by 1-x.
5x-50+6x=6
Add 6x to both sides.
11x-50=6
Combine 5x and 6x to get 11x.
11x=6+50
Add 50 to both sides.
11x=56
Add 6 and 50 to get 56.
x=\frac{56}{11}
Divide both sides by 11.
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