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

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

Solve for x

$$x=2$$

Steps for Solving Linear Equation

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

$$4x-6-3=2-3\left(x-1\right)$$

Subtract 3 from -6 to get -9.

$$4x-9=2-3\left(x-1\right)$$

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

$$4x-9=2-3x+3$$

Add 2 and 3 to get 5.

$$4x-9=5-3x$$

Add 3x to both sides.

$$4x-9+3x=5$$

Combine 4x and 3x to get 7x.

$$7x-9=5$$

Add 9 to both sides.

$$7x=5+9$$

Add 5 and 9 to get 14.

$$7x=14$$

Divide both sides by 7.

$$x=\frac{14}{7}$$

Divide 14 by 7 to get 2.

$$x=2$$