Solve 3(x-6)-4(3x-5)=9

$$3(x-6)-4(3x-5)=9$$

Solve for x

$$x=-\frac{7}{9}\approx -0.777777778$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x-6.

$$3x-18-4\left(3x-5\right)=9$$

Use the distributive property to multiply -4 by 3x-5.

$$3x-18-12x+20=9$$

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

$$-9x-18+20=9$$

Add -18 and 20 to get 2.

$$-9x+2=9$$

Subtract 2 from both sides.

$$-9x=9-2$$

Subtract 2 from 9 to get 7.

$$-9x=7$$

Divide both sides by -9.

$$x=\frac{7}{-9}$$

Fraction \frac{7}{-9} can be rewritten as -\frac{7}{9} by extracting the negative sign.

$$x=-\frac{7}{9}$$