Solve -4(2x-1)+3x+1/3=-5x-3

$$- 4 ( 2 x - 1 ) + \frac { 3 x + 1 } { 3 } = - 5 x - 3$$

Solve for x

$$x = \frac{11}{3} = 3\frac{2}{3} \approx 3.666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$-12\left(2x-1\right)+3x+1=-15x-9$$

Use the distributive property to multiply -12 by 2x-1.

$$-24x+12+3x+1=-15x-9$$

Combine -24x and 3x to get -21x.

$$-21x+12+1=-15x-9$$

Add 12 and 1 to get 13.

$$-21x+13=-15x-9$$

Add 15x to both sides.

$$-21x+13+15x=-9$$

Combine -21x and 15x to get -6x.

$$-6x+13=-9$$

Subtract 13 from both sides.

$$-6x=-9-13$$

Subtract 13 from -9 to get -22.

$$-6x=-22$$

Divide both sides by -6.

$$x=\frac{-22}{-6}$$

Reduce the fraction \frac{-22}{-6} to lowest terms by extracting and canceling out -2.

$$x=\frac{11}{3}$$