Solve (x+5)div6+x-5=(4x-1)div3-(2x-2)div1

$$( x + 5 ) \div 6 + x - 5 = ( 4 x - 1 ) \div 3 - ( 2 x - 2 ) \div 1$$

Solve for x

$$x = \frac{35}{11} = 3\frac{2}{11} \approx 3.181818182$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 6,3.

$$x+5+6x-30=2\left(4x-1\right)-6\left(2x-2\right)$$

Combine x and 6x to get 7x.

$$7x+5-30=2\left(4x-1\right)-6\left(2x-2\right)$$

Subtract 30 from 5 to get -25.

$$7x-25=2\left(4x-1\right)-6\left(2x-2\right)$$

Use the distributive property to multiply 2 by 4x-1.

$$7x-25=8x-2-6\left(2x-2\right)$$

Use the distributive property to multiply -6 by 2x-2.

$$7x-25=8x-2-12x+12$$

Combine 8x and -12x to get -4x.

$$7x-25=-4x-2+12$$

Add -2 and 12 to get 10.

$$7x-25=-4x+10$$

Add 4x to both sides.

$$7x-25+4x=10$$

Combine 7x and 4x to get 11x.

$$11x-25=10$$

Add 25 to both sides.

$$11x=10+25$$

Add 10 and 25 to get 35.

$$11x=35$$

Divide both sides by 11.

$$x=\frac{35}{11}$$