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

$$3 ( 2 x - 1 ) - 2 ( x - 2 ) = 5 ( 2 x + 1 )$$

Solve for x

$$x=-\frac{2}{3}\approx -0.666666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 2x-1.

$$6x-3-2\left(x-2\right)=5\left(2x+1\right)$$

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

$$6x-3-2x+4=5\left(2x+1\right)$$

Combine 6x and -2x to get 4x.

$$4x-3+4=5\left(2x+1\right)$$

Add -3 and 4 to get 1.

$$4x+1=5\left(2x+1\right)$$

Use the distributive property to multiply 5 by 2x+1.

$$4x+1=10x+5$$

Subtract 10x from both sides.

$$4x+1-10x=5$$

Combine 4x and -10x to get -6x.

$$-6x+1=5$$

Subtract 1 from both sides.

$$-6x=5-1$$

Subtract 1 from 5 to get 4.

$$-6x=4$$

Divide both sides by -6.

$$x=\frac{4}{-6}$$

Reduce the fraction \frac{4}{-6} to lowest terms by extracting and canceling out 2.

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