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

$$2(2x-1)-1=3 \times 2x+2$$

Solve for x

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

Steps for Solving Linear Equation

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

$$4x-2-1=3\times 2x+2$$

Subtract 1 from -2 to get -3.

$$4x-3=3\times 2x+2$$

Multiply 3 and 2 to get 6.

$$4x-3=6x+2$$

Subtract 6x from both sides.

$$4x-3-6x=2$$

Combine 4x and -6x to get -2x.

$$-2x-3=2$$

Add 3 to both sides.

$$-2x=2+3$$

Add 2 and 3 to get 5.

$$-2x=5$$

Divide both sides by -2.

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

Fraction \frac{5}{-2} can be rewritten as -\frac{5}{2} by extracting the negative sign.

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