Solve -(-3(-2(x+5-6x)-2x)-3)=x

$$-(-3(-2(x+5-6x)-2x)-3)=x$$

Solve for x

$$x = \frac{27}{23} = 1\frac{4}{23} \approx 1.173913043$$

Steps for Solving Linear Equation

Combine x and -6x to get -5x.

$$-\left(-3\left(-2\left(-5x+5\right)-2x\right)-3\right)=x$$

Use the distributive property to multiply -2 by -5x+5.

$$-\left(-3\left(10x-10-2x\right)-3\right)=x$$

Combine 10x and -2x to get 8x.

$$-\left(-3\left(8x-10\right)-3\right)=x$$

Use the distributive property to multiply -3 by 8x-10.

$$-\left(-24x+30-3\right)=x$$

Subtract 3 from 30 to get 27.

$$-\left(-24x+27\right)=x$$

To find the opposite of -24x+27, find the opposite of each term.

$$-\left(-24x\right)-27=x$$

The opposite of -24x is 24x.

$$24x-27=x$$

Subtract x from both sides.

$$24x-27-x=0$$

Combine 24x and -x to get 23x.

$$23x-27=0$$

Add 27 to both sides. Anything plus zero gives itself.

$$23x=27$$

Divide both sides by 23.

$$x=\frac{27}{23}$$