Solve (16+15x)=x-3(4+x)

$$(16+15x)=x-3(4+x)$$

Solve for x

$$x = -\frac{28}{17} = -1\frac{11}{17} \approx -1.647058824$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by 4+x.

$$16+15x=x-12-3x$$

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

$$16+15x=-2x-12$$

Add 2x to both sides.

$$16+15x+2x=-12$$

Combine 15x and 2x to get 17x.

$$16+17x=-12$$

Subtract 16 from both sides.

$$17x=-12-16$$

Subtract 16 from -12 to get -28.

$$17x=-28$$

Divide both sides by 17.

$$x=\frac{-28}{17}$$

Fraction \frac{-28}{17} can be rewritten as -\frac{28}{17} by extracting the negative sign.

$$x=-\frac{28}{17}$$