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

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

Solve for x

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

Steps for Solving Linear Equation

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

$$3x+12=2\left(4x-1\right)$$

Use the distributive property to multiply 2 by 4x-1.

$$3x+12=8x-2$$

Subtract 8x from both sides.

$$3x+12-8x=-2$$

Combine 3x and -8x to get -5x.

$$-5x+12=-2$$

Subtract 12 from both sides.

$$-5x=-2-12$$

Subtract 12 from -2 to get -14.

$$-5x=-14$$

Divide both sides by -5.

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

Fraction \frac{-14}{-5} can be simplified to \frac{14}{5} by removing the negative sign from both the numerator and the denominator.

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