Solve 5(16-x)=-12(x+7)

$$5(16-x)=-12(x+7)$$

Solve for x

$$x = -\frac{164}{7} = -23\frac{3}{7} \approx -23.428571429$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by 16-x.

$$80-5x=-12\left(x+7\right)$$

Use the distributive property to multiply -12 by x+7.

$$80-5x=-12x-84$$

Add 12x to both sides.

$$80-5x+12x=-84$$

Combine -5x and 12x to get 7x.

$$80+7x=-84$$

Subtract 80 from both sides.

$$7x=-84-80$$

Subtract 80 from -84 to get -164.

$$7x=-164$$

Divide both sides by 7.

$$x=\frac{-164}{7}$$

Fraction \frac{-164}{7} can be rewritten as -\frac{164}{7} by extracting the negative sign.

$$x=-\frac{164}{7}$$