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

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

Solve for x

$$x=5$$

Steps for Solving Linear Equation

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

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

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

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

Combine 3x and -2x to get x.

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

Add 3 and 2 to get 5.

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

Use the distributive property to multiply 5 by x-3.

$$x+5=5x-15$$

Subtract 5x from both sides.

$$x+5-5x=-15$$

Combine x and -5x to get -4x.

$$-4x+5=-15$$

Subtract 5 from both sides.

$$-4x=-15-5$$

Subtract 5 from -15 to get -20.

$$-4x=-20$$

Divide both sides by -4.

$$x=\frac{-20}{-4}$$

Divide -20 by -4 to get 5.

$$x=5$$