Solve 3(x-8)-5(7x-6)=6(3x+2)-5(6x+1)-9x

$$3(x-8)-5(7x-6)=6(3x+2)-5(6x+1)-9x$$

Solve for x

$$x=-\frac{1}{11}\approx -0.090909091$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x-8.

$$3x-24-5\left(7x-6\right)=6\left(3x+2\right)-5\left(6x+1\right)-9x$$

Use the distributive property to multiply -5 by 7x-6.

$$3x-24-35x+30=6\left(3x+2\right)-5\left(6x+1\right)-9x$$

Combine 3x and -35x to get -32x.

$$-32x-24+30=6\left(3x+2\right)-5\left(6x+1\right)-9x$$

Add -24 and 30 to get 6.

$$-32x+6=6\left(3x+2\right)-5\left(6x+1\right)-9x$$

Use the distributive property to multiply 6 by 3x+2.

$$-32x+6=18x+12-5\left(6x+1\right)-9x$$

Use the distributive property to multiply -5 by 6x+1.

$$-32x+6=18x+12-30x-5-9x$$

Combine 18x and -30x to get -12x.

$$-32x+6=-12x+12-5-9x$$

Subtract 5 from 12 to get 7.

$$-32x+6=-12x+7-9x$$

Combine -12x and -9x to get -21x.

$$-32x+6=-21x+7$$

Add 21x to both sides.

$$-32x+6+21x=7$$

Combine -32x and 21x to get -11x.

$$-11x+6=7$$

Subtract 6 from both sides.

$$-11x=7-6$$

Subtract 6 from 7 to get 1.

$$-11x=1$$

Divide both sides by -11.

$$x=\frac{1}{-11}$$

Fraction \frac{1}{-11} can be rewritten as -\frac{1}{11} by extracting the negative sign.

$$x=-\frac{1}{11}$$