Solve for x
x=10
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15\left(x-6\right)-10\left(x-4\right)=60-6x
Multiply both sides of the equation by 60, the least common multiple of 4,6,10.
15x-90-10\left(x-4\right)=60-6x
Use the distributive property to multiply 15 by x-6.
15x-90-10x+40=60-6x
Use the distributive property to multiply -10 by x-4.
5x-90+40=60-6x
Combine 15x and -10x to get 5x.
5x-50=60-6x
Add -90 and 40 to get -50.
5x-50+6x=60
Add 6x to both sides.
11x-50=60
Combine 5x and 6x to get 11x.
11x=60+50
Add 50 to both sides.
11x=110
Add 60 and 50 to get 110.
x=\frac{110}{11}
Divide both sides by 11.
x=10
Divide 110 by 11 to get 10.
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