Solve -4-3*(x+5)+1=2*(x+5)

$$- 4 - 3 \cdot ( x + 5 ) + 1 = 2 \cdot ( x + 5 )$$

Solve for x

$$x = -\frac{28}{5} = -5\frac{3}{5} = -5.6$$

Steps for Solving Linear Equation

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

$$-4-3x-15+1=2\left(x+5\right)$$

Subtract 15 from -4 to get -19.

$$-19-3x+1=2\left(x+5\right)$$

Add -19 and 1 to get -18.

$$-18-3x=2\left(x+5\right)$$

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

$$-18-3x=2x+10$$

Subtract 2x from both sides.

$$-18-3x-2x=10$$

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

$$-18-5x=10$$

Add 18 to both sides.

$$-5x=10+18$$

Add 10 and 18 to get 28.

$$-5x=28$$

Divide both sides by -5.

$$x=\frac{28}{-5}$$

Fraction \frac{28}{-5} can be rewritten as -\frac{28}{5} by extracting the negative sign.

$$x=-\frac{28}{5}$$