Solve (3*-5)(x+4)=2(3x-3)

$$( 3 \times - 5 ) ( x + 4 ) = 2 ( 3 x - 3 )$$

Solve for x

$$x = -\frac{18}{7} = -2\frac{4}{7} \approx -2.571428571$$

Steps for Solving Linear Equation

Multiply 3 and -5 to get -15.

$$-15\left(x+4\right)=2\left(3x-3\right)$$

Use the distributive property to multiply -15 by x+4.

$$-15x-60=2\left(3x-3\right)$$

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

$$-15x-60=6x-6$$

Subtract 6x from both sides.

$$-15x-60-6x=-6$$

Combine -15x and -6x to get -21x.

$$-21x-60=-6$$

Add 60 to both sides.

$$-21x=-6+60$$

Add -6 and 60 to get 54.

$$-21x=54$$

Divide both sides by -21.

$$x=\frac{54}{-21}$$

Reduce the fraction \frac{54}{-21} to lowest terms by extracting and canceling out 3.

$$x=-\frac{18}{7}$$