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

$$\frac { x - 4 } { 3 } - \frac { 3 x - 1 } { 2 } = 4$$

Solve for x

$$x = -\frac{29}{7} = -4\frac{1}{7} \approx -4.142857143$$

Steps for Solving Linear Equation

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

$$2\left(x-4\right)-3\left(3x-1\right)=24$$

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

$$2x-8-3\left(3x-1\right)=24$$

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

$$2x-8-9x+3=24$$

Combine 2x and -9x to get -7x.

$$-7x-8+3=24$$

Add -8 and 3 to get -5.

$$-7x-5=24$$

Add 5 to both sides.

$$-7x=24+5$$

Add 24 and 5 to get 29.

$$-7x=29$$

Divide both sides by -7.

$$x=\frac{29}{-7}$$

Fraction \frac{29}{-7} can be rewritten as -\frac{29}{7} by extracting the negative sign.

$$x=-\frac{29}{7}$$