Solve 10+3(-4-2x)=5x+15

$$10 + 3 ( - 4 - 2 x ) = 5 x + 15$$

Solve for x

$$x = -\frac{17}{11} = -1\frac{6}{11} \approx -1.545454545$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by -4-2x.

$$10-12-6x=5x+15$$

Subtract 12 from 10 to get -2.

$$-2-6x=5x+15$$

Subtract 5x from both sides.

$$-2-6x-5x=15$$

Combine -6x and -5x to get -11x.

$$-2-11x=15$$

Add 2 to both sides.

$$-11x=15+2$$

Add 15 and 2 to get 17.

$$-11x=17$$

Divide both sides by -11.

$$x=\frac{17}{-11}$$

Fraction \frac{17}{-11} can be rewritten as -\frac{17}{11} by extracting the negative sign.

$$x=-\frac{17}{11}$$