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

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

Solve for x

$$x=\frac{6}{7}\approx 0.857142857$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

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

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

$$24x-12=3\left(x+2\right)$$

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

$$24x-12=3x+6$$

Subtract 3x from both sides.

$$24x-12-3x=6$$

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

$$21x-12=6$$

Add 12 to both sides.

$$21x=6+12$$

Add 6 and 12 to get 18.

$$21x=18$$

Divide both sides by 21.

$$x=\frac{18}{21}$$

Reduce the fraction \frac{18}{21} to lowest terms by extracting and canceling out 3.

$$x=\frac{6}{7}$$