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

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

Solve for x

$$x = -\frac{7}{4} = -1\frac{3}{4} = -1.75$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply 3 by 2x-1.

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

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

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

Subtract 3 from 6 to get 3.

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

Combine x and -2x to get -x.

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

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

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

Add 2x to both sides.

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

Combine 2x and 2x to get 4x.

$$4x+3=-4$$

Subtract 3 from both sides.

$$4x=-4-3$$

Subtract 3 from -4 to get -7.

$$4x=-7$$

Divide both sides by 4.

$$x=\frac{-7}{4}$$

Fraction \frac{-7}{4} can be rewritten as -\frac{7}{4} by extracting the negative sign.

$$x=-\frac{7}{4}$$