Solve -4(x+2)+3(x-1)-2=4(x-2)+9

$$-4(x+2)+3(x-1)-2=4(x-2)+9$$

Solve for x

$$x = -\frac{14}{5} = -2\frac{4}{5} = -2.8$$

Steps for Solving Linear Equation

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

$$-4x-8+3\left(x-1\right)-2=4\left(x-2\right)+9$$

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

$$-4x-8+3x-3-2=4\left(x-2\right)+9$$

Combine -4x and 3x to get -x.

$$-x-8-3-2=4\left(x-2\right)+9$$

Subtract 3 from -8 to get -11.

$$-x-11-2=4\left(x-2\right)+9$$

Subtract 2 from -11 to get -13.

$$-x-13=4\left(x-2\right)+9$$

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

$$-x-13=4x-8+9$$

Add -8 and 9 to get 1.

$$-x-13=4x+1$$

Subtract 4x from both sides.

$$-x-13-4x=1$$

Combine -x and -4x to get -5x.

$$-5x-13=1$$

Add 13 to both sides.

$$-5x=1+13$$

Add 1 and 13 to get 14.

$$-5x=14$$

Divide both sides by -5.

$$x=\frac{14}{-5}$$

Fraction \frac{14}{-5} can be rewritten as -\frac{14}{5} by extracting the negative sign.

$$x=-\frac{14}{5}$$