Solve 4-(-6-x)-3x=5-2x-17x+3

$$4 - ( - 6 - x ) - 3 x = 5 - 2 x - 17 x + 3$$

Solve for x

$$x=-\frac{2}{17}\approx -0.117647059$$

Steps for Solving Linear Equation

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

$$4-\left(-6\right)-\left(-x\right)-3x=5-2x-17x+3$$

The opposite of -6 is 6.

$$4+6-\left(-x\right)-3x=5-2x-17x+3$$

The opposite of -x is x.

$$4+6+x-3x=5-2x-17x+3$$

Add 4 and 6 to get 10.

$$10+x-3x=5-2x-17x+3$$

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

$$10-2x=5-2x-17x+3$$

Combine -2x and -17x to get -19x.

$$10-2x=5-19x+3$$

Add 5 and 3 to get 8.

$$10-2x=8-19x$$

Add 19x to both sides.

$$10-2x+19x=8$$

Combine -2x and 19x to get 17x.

$$10+17x=8$$

Subtract 10 from both sides.

$$17x=8-10$$

Subtract 10 from 8 to get -2.

$$17x=-2$$

Divide both sides by 17.

$$x=\frac{-2}{17}$$

Fraction \frac{-2}{17} can be rewritten as -\frac{2}{17} by extracting the negative sign.

$$x=-\frac{2}{17}$$