Solve 4(3x-4)=2(x+6)

$$4 ( 3 x - 4 ) = 2 ( x + 6 )$$

Solve for x

$$x = \frac{14}{5} = 2\frac{4}{5} = 2.8$$

Steps for Solving Linear Equation

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

$$12x-16=2\left(x+6\right)$$

Use the distributive property to multiply 2 by x+6.

$$12x-16=2x+12$$

Subtract 2x from both sides.

$$12x-16-2x=12$$

Combine 12x and -2x to get 10x.

$$10x-16=12$$

Add 16 to both sides.

$$10x=12+16$$

Add 12 and 16 to get 28.

$$10x=28$$

Divide both sides by 10.

$$x=\frac{28}{10}$$

Reduce the fraction \frac{28}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{14}{5}$$