Solve -4x/3-1/2=4x/3-2

$$- 4 x / 3 - 1 / 2 = 4 x / 3 - 2$$

Solve for x

$$x=\frac{9}{16}=0.5625$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2.

$$2\left(-4\right)x-3=2\times 4x-12$$

Multiply 2 and -4 to get -8.

$$-8x-3=2\times 4x-12$$

Multiply 2 and 4 to get 8.

$$-8x-3=8x-12$$

Subtract 8x from both sides.

$$-8x-3-8x=-12$$

Combine -8x and -8x to get -16x.

$$-16x-3=-12$$

Add 3 to both sides.

$$-16x=-12+3$$

Add -12 and 3 to get -9.

$$-16x=-9$$

Divide both sides by -16.

$$x=\frac{-9}{-16}$$

Fraction \frac{-9}{-16} can be simplified to \frac{9}{16} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{9}{16}$$