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

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

Solve for x

$$x=\frac{4}{9}\approx 0.444444444$$

Steps for Solving Linear Equation

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

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

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

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

Combine 3x and -2x to get x.

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

Add 6 and 2 to get 8.

$$x+8=-4\left(2x-3\right)$$

Use the distributive property to multiply -4 by 2x-3.

$$x+8=-8x+12$$

Add 8x to both sides.

$$x+8+8x=12$$

Combine x and 8x to get 9x.

$$9x+8=12$$

Subtract 8 from both sides.

$$9x=12-8$$

Subtract 8 from 12 to get 4.

$$9x=4$$

Divide both sides by 9.

$$x=\frac{4}{9}$$