Solve 4-10(x+6)=5(x-1)-32

$$4-10(x+6)=5(x-1)-32$$

Solve for x

$$x = -\frac{19}{15} = -1\frac{4}{15} \approx -1.266666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply -10 by x+6.

$$4-10x-60=5\left(x-1\right)-32$$

Subtract 60 from 4 to get -56.

$$-56-10x=5\left(x-1\right)-32$$

Use the distributive property to multiply 5 by x-1.

$$-56-10x=5x-5-32$$

Subtract 32 from -5 to get -37.

$$-56-10x=5x-37$$

Subtract 5x from both sides.

$$-56-10x-5x=-37$$

Combine -10x and -5x to get -15x.

$$-56-15x=-37$$

Add 56 to both sides.

$$-15x=-37+56$$

Add -37 and 56 to get 19.

$$-15x=19$$

Divide both sides by -15.

$$x=\frac{19}{-15}$$

Fraction \frac{19}{-15} can be rewritten as -\frac{19}{15} by extracting the negative sign.

$$x=-\frac{19}{15}$$