Solve 8x-3(2x-1)/2=4x-2/3

$$8 x - \frac { 3 ( 2 x - 1 ) } { 2 } = 4 x - \frac { 2 } { 3 }$$

Solve for x

$$x = -\frac{13}{6} = -2\frac{1}{6} \approx -2.166666667$$

Steps for Solving Linear Equation

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

$$48x-3\times 3\left(2x-1\right)=24x-4$$

Multiply -3 and 3 to get -9.

$$48x-9\left(2x-1\right)=24x-4$$

Use the distributive property to multiply -9 by 2x-1.

$$48x-18x+9=24x-4$$

Combine 48x and -18x to get 30x.

$$30x+9=24x-4$$

Subtract 24x from both sides.

$$30x+9-24x=-4$$

Combine 30x and -24x to get 6x.

$$6x+9=-4$$

Subtract 9 from both sides.

$$6x=-4-9$$

Subtract 9 from -4 to get -13.

$$6x=-13$$

Divide both sides by 6.

$$x=\frac{-13}{6}$$

Fraction \frac{-13}{6} can be rewritten as -\frac{13}{6} by extracting the negative sign.

$$x=-\frac{13}{6}$$