Solve -15x-6x=(-x+3)-(x+2)+10=

$$- 15 x - 6 x = ( - x + 3 ) - ( x + 2 ) + 10 =$$

Solve for x

$$x=-\frac{11}{19}\approx -0.578947368$$

Steps for Solving Linear Equation

Combine -15x and -6x to get -21x.

$$-21x=-x+3-\left(x+2\right)+10$$

To find the opposite of x+2, find the opposite of each term.

$$-21x=-x+3-x-2+10$$

Subtract 2 from 3 to get 1.

$$-21x=-x+1-x+10$$

Add 1 and 10 to get 11.

$$-21x=-x+11-x$$

Add x to both sides.

$$-21x+x=11-x$$

Combine -21x and x to get -20x.

$$-20x=11-x$$

Add x to both sides.

$$-20x+x=11$$

Combine -20x and x to get -19x.

$$-19x=11$$

Divide both sides by -19.

$$x=\frac{11}{-19}$$

Fraction \frac{11}{-19} can be rewritten as -\frac{11}{19} by extracting the negative sign.

$$x=-\frac{11}{19}$$