Solve -3(5+x)=2(x+5)-1

$$- 3 ( 5 + x ) = 2 ( x + 5 ) - 1$$

Solve for x

$$x = -\frac{24}{5} = -4\frac{4}{5} = -4.8$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by 5+x.

$$-15-3x=2\left(x+5\right)-1$$

Use the distributive property to multiply 2 by x+5.

$$-15-3x=2x+10-1$$

Subtract 1 from 10 to get 9.

$$-15-3x=2x+9$$

Subtract 2x from both sides.

$$-15-3x-2x=9$$

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

$$-15-5x=9$$

Add 15 to both sides.

$$-5x=9+15$$

Add 9 and 15 to get 24.

$$-5x=24$$

Divide both sides by -5.

$$x=\frac{24}{-5}$$

Fraction \frac{24}{-5} can be rewritten as -\frac{24}{5} by extracting the negative sign.

$$x=-\frac{24}{5}$$