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

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

Solve for x

$$x = \frac{14}{3} = 4\frac{2}{3} \approx 4.666666667$$

Steps for Solving Linear Equation

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

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

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

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

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

$$-x+8=2x-6$$

Subtract 2x from both sides.

$$-x+8-2x=-6$$

Combine -x and -2x to get -3x.

$$-3x+8=-6$$

Subtract 8 from both sides.

$$-3x=-6-8$$

Subtract 8 from -6 to get -14.

$$-3x=-14$$

Divide both sides by -3.

$$x=\frac{-14}{-3}$$

Fraction \frac{-14}{-3} can be simplified to \frac{14}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{14}{3}$$