Solve for x

x = \frac{79}{15} = 5\frac{4}{15} \approx 5.266666667

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4\left(5x-1\right)-10\left(1+x\right)=60-5\left(x-1\right)

Multiply both sides of the equation by 20, the least common multiple of 5,2,4.

20x-4-10\left(1+x\right)=60-5\left(x-1\right)

Use the distributive property to multiply 4 by 5x-1.

20x-4-10-10x=60-5\left(x-1\right)

Use the distributive property to multiply -10 by 1+x.

20x-14-10x=60-5\left(x-1\right)

Subtract 10 from -4 to get -14.

10x-14=60-5\left(x-1\right)

Combine 20x and -10x to get 10x.

10x-14=60-5x+5

Use the distributive property to multiply -5 by x-1.

10x-14=65-5x

Add 60 and 5 to get 65.

10x-14+5x=65

Add 5x to both sides.

15x-14=65

Combine 10x and 5x to get 15x.

15x=65+14

Add 14 to both sides.

15x=79

Add 65 and 14 to get 79.

x=\frac{79}{15}

Divide both sides by 15.

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