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

$$3(2x-1)=4(3-x)$$

Solve for x

$$x = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

Steps for Solving Linear Equation

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

$$6x-3=4\left(3-x\right)$$

Use the distributive property to multiply 4 by 3-x.

$$6x-3=12-4x$$

Add 4x to both sides.

$$6x-3+4x=12$$

Combine 6x and 4x to get 10x.

$$10x-3=12$$

Add 3 to both sides.

$$10x=12+3$$

Add 12 and 3 to get 15.

$$10x=15$$

Divide both sides by 10.

$$x=\frac{15}{10}$$

Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

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