Solve x-8x-10+2x=5x-3x+6

$$x - 8 x - 10 + 2 x = 5 x - 3 x + 6$$

Solve for x

$$x = -\frac{16}{7} = -2\frac{2}{7} \approx -2.285714286$$

Steps for Solving Linear Equation

Combine x and -8x to get -7x.

$$-7x-10+2x=5x-3x+6$$

Combine -7x and 2x to get -5x.

$$-5x-10=5x-3x+6$$

Combine 5x and -3x to get 2x.

$$-5x-10=2x+6$$

Subtract 2x from both sides.

$$-5x-10-2x=6$$

Combine -5x and -2x to get -7x.

$$-7x-10=6$$

Add 10 to both sides.

$$-7x=6+10$$

Add 6 and 10 to get 16.

$$-7x=16$$

Divide both sides by -7.

$$x=\frac{16}{-7}$$

Fraction \frac{16}{-7} can be rewritten as -\frac{16}{7} by extracting the negative sign.

$$x=-\frac{16}{7}$$