Solve 7left(x-1right)-x+2+2left(x-5right)=x-5

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

Solve for x

$$x = \frac{10}{7} = 1\frac{3}{7} \approx 1.428571429$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7 by x-1.

$$7x-7-x+2+2\left(x-5\right)=x-5$$

Combine 7x and -x to get 6x.

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

Add -7 and 2 to get -5.

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

Use the distributive property to multiply 2 by x-5.

$$6x-5+2x-10=x-5$$

Combine 6x and 2x to get 8x.

$$8x-5-10=x-5$$

Subtract 10 from -5 to get -15.

$$8x-15=x-5$$

Subtract x from both sides.

$$8x-15-x=-5$$

Combine 8x and -x to get 7x.

$$7x-15=-5$$

Add 15 to both sides.

$$7x=-5+15$$

Add -5 and 15 to get 10.

$$7x=10$$

Divide both sides by 7.

$$x=\frac{10}{7}$$