Solve 5(x-3)-4(x-1)=2x-3(x+2)

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

Solve for x

$$x = \frac{5}{2} = 2\frac{1}{2} = 2.5$$

Steps for Solving Linear Equation

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

$$5x-15-4\left(x-1\right)=2x-3\left(x+2\right)$$

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

$$5x-15-4x+4=2x-3\left(x+2\right)$$

Combine 5x and -4x to get x.

$$x-15+4=2x-3\left(x+2\right)$$

Add -15 and 4 to get -11.

$$x-11=2x-3\left(x+2\right)$$

Use the distributive property to multiply -3 by x+2.

$$x-11=2x-3x-6$$

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

$$x-11=-x-6$$

Add x to both sides.

$$x-11+x=-6$$

Combine x and x to get 2x.

$$2x-11=-6$$

Add 11 to both sides.

$$2x=-6+11$$

Add -6 and 11 to get 5.

$$2x=5$$

Divide both sides by 2.

$$x=\frac{5}{2}$$