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

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

Solve for x

$$x = -\frac{13}{7} = -1\frac{6}{7} \approx -1.857142857$$

Steps for Solving Linear Equation

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

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

Subtract 2 from -15 to get -17.

$$-3x-17=4\left(x-1\right)$$

Use the distributive property to multiply 4 by x-1.

$$-3x-17=4x-4$$

Subtract 4x from both sides.

$$-3x-17-4x=-4$$

Combine -3x and -4x to get -7x.

$$-7x-17=-4$$

Add 17 to both sides.

$$-7x=-4+17$$

Add -4 and 17 to get 13.

$$-7x=13$$

Divide both sides by -7.

$$x=\frac{13}{-7}$$

Fraction \frac{13}{-7} can be rewritten as -\frac{13}{7} by extracting the negative sign.

$$x=-\frac{13}{7}$$