Solve 3(x-1)=12(x+4)

$$3 ( x - 1 ) = 12 ( x + 4 )$$

Solve for x

$$x = -\frac{17}{3} = -5\frac{2}{3} \approx -5.666666667$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply 12 by x+4.

$$3x-3=12x+48$$

Subtract 12x from both sides.

$$3x-3-12x=48$$

Combine 3x and -12x to get -9x.

$$-9x-3=48$$

Add 3 to both sides.

$$-9x=48+3$$

Add 48 and 3 to get 51.

$$-9x=51$$

Divide both sides by -9.

$$x=\frac{51}{-9}$$

Reduce the fraction \frac{51}{-9} to lowest terms by extracting and canceling out 3.

$$x=-\frac{17}{3}$$