Solve left(x-9right)^/6-x+3/3=x-1

$$\frac{ { \left(x-9 \right) }^{ } }{ 6 } - \frac{ x+3 }{ 3 } = x-1$$

Solve for x

$$x = -\frac{9}{7} = -1\frac{2}{7} \approx -1.285714286$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 6,3.

$$\left(x-9\right)^{1}-2\left(x+3\right)=6x-6$$

Calculate x-9 to the power of 1 and get x-9.

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

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

$$x-9-2x-6=6x-6$$

Combine x and -2x to get -x.

$$-x-9-6=6x-6$$

Subtract 6 from -9 to get -15.

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

Subtract 6x from both sides.

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

Combine -x and -6x to get -7x.

$$-7x-15=-6$$

Add 15 to both sides.

$$-7x=-6+15$$

Add -6 and 15 to get 9.

$$-7x=9$$

Divide both sides by -7.

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

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

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