Solve +3s-4(x-4)=x(-5)+5-40

$$+ 3 s - 4 ( x - 4 ) = x ( - 5 ) + 5 - 40$$

Solve for s

$$s=-\frac{x}{3}-17$$

Steps for Solving Linear Equation

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

$$3s-4x+16=x\left(-5\right)+5-40$$

Subtract 40 from 5 to get -35.

$$3s-4x+16=x\left(-5\right)-35$$

Add 4x to both sides.

$$3s+16=x\left(-5\right)-35+4x$$

Combine x\left(-5\right) and 4x to get -x.

$$3s+16=-x-35$$

Subtract 16 from both sides.

$$3s=-x-35-16$$

Subtract 16 from -35 to get -51.

$$3s=-x-51$$

Divide both sides by 3.

$$\frac{3s}{3}=\frac{-x-51}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$s=\frac{-x-51}{3}$$

Divide -x-51 by 3.

$$s=-\frac{x}{3}-17$$

Solve for x

$$x=-3s-51$$

Solution Steps

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

$$3s-4x+16=x\left(-5\right)+5-40$$

Subtract 40 from 5 to get -35.

$$3s-4x+16=x\left(-5\right)-35$$

Subtract x\left(-5\right) from both sides.

$$3s-4x+16-x\left(-5\right)=-35$$

Combine -4x and -x\left(-5\right) to get x.

$$3s+x+16=-35$$

Subtract 3s from both sides.

$$x+16=-35-3s$$

Subtract 16 from both sides.

$$x=-35-3s-16$$

Subtract 16 from -35 to get -51.

$$x=-51-3s$$