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

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

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

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

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

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

$$6x-3=2-2x-1$$

Subtract 1 from 2 to get 1.

$$6x-3=1-2x$$

Add 2x to both sides.

$$6x-3+2x=1$$

Combine 6x and 2x to get 8x.

$$8x-3=1$$

Add 3 to both sides.

$$8x=1+3$$

Add 1 and 3 to get 4.

$$8x=4$$

Divide both sides by 8.

$$x=\frac{4}{8}$$

Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.

$$x=\frac{1}{2}$$