Solve 1-(3-(6-x))=3x-(8+x)

$$1-(3-(6-x))=3x-(8+x)$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

To find the opposite of 6-x, find the opposite of each term.

$$1-\left(3-6-\left(-x\right)\right)=3x-\left(8+x\right)$$

The opposite of -x is x.

$$1-\left(3-6+x\right)=3x-\left(8+x\right)$$

Subtract 6 from 3 to get -3.

$$1-\left(-3+x\right)=3x-\left(8+x\right)$$

To find the opposite of -3+x, find the opposite of each term.

$$1-\left(-3\right)-x=3x-\left(8+x\right)$$

The opposite of -3 is 3.

$$1+3-x=3x-\left(8+x\right)$$

Add 1 and 3 to get 4.

$$4-x=3x-\left(8+x\right)$$

To find the opposite of 8+x, find the opposite of each term.

$$4-x=3x-8-x$$

Combine 3x and -x to get 2x.

$$4-x=2x-8$$

Subtract 2x from both sides.

$$4-x-2x=-8$$

Combine -x and -2x to get -3x.

$$4-3x=-8$$

Subtract 4 from both sides.

$$-3x=-8-4$$

Subtract 4 from -8 to get -12.

$$-3x=-12$$

Divide both sides by -3.

$$x=\frac{-12}{-3}$$

Divide -12 by -3 to get 4.

$$x=4$$