Solve 1-5(x-5)=1-3(x-1)

$$1 - 5 ( x - 5 ) = 1 - 3 ( x - 1 )$$

Solve for x

$$x=11$$

Steps for Solving Linear Equation

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

$$1-5x+25=1-3\left(x-1\right)$$

Add 1 and 25 to get 26.

$$26-5x=1-3\left(x-1\right)$$

Use the distributive property to multiply -3 by x-1.

$$26-5x=1-3x+3$$

Add 1 and 3 to get 4.

$$26-5x=4-3x$$

Add 3x to both sides.

$$26-5x+3x=4$$

Combine -5x and 3x to get -2x.

$$26-2x=4$$

Subtract 26 from both sides.

$$-2x=4-26$$

Subtract 26 from 4 to get -22.

$$-2x=-22$$

Divide both sides by -2.

$$x=\frac{-22}{-2}$$

Divide -22 by -2 to get 11.

$$x=11$$