Solve x-3(x+1)=5x-2(x-1)

$$x - 3 ( x + 1 ) = 5 x - 2 ( x - 1 )$$

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

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

$$x-3x-3=5x-2\left(x-1\right)$$

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

$$-2x-3=5x-2\left(x-1\right)$$

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

$$-2x-3=5x-2x+2$$

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

$$-2x-3=3x+2$$

Subtract 3x from both sides.

$$-2x-3-3x=2$$

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

$$-5x-3=2$$

Add 3 to both sides.

$$-5x=2+3$$

Add 2 and 3 to get 5.

$$-5x=5$$

Divide both sides by -5.

$$x=\frac{5}{-5}$$

Divide 5 by -5 to get -1.

$$x=-1$$