Solve (s+x)+(7+x)+(7-k)+1=32+x

$$( s + x ) + ( 7 + x ) + ( 7 - k ) + 1 = 32 + x$$

Solve for k

$$k=x+s-17$$

Steps for Solving Linear Equation

Combine x and x to get 2x.

$$s+2x+7+7-k+1=32+x$$

Add 7 and 7 to get 14.

$$s+2x+14-k+1=32+x$$

Add 14 and 1 to get 15.

$$s+2x+15-k=32+x$$

Subtract s from both sides.

$$2x+15-k=32+x-s$$

Subtract 2x from both sides.

$$15-k=32+x-s-2x$$

Combine x and -2x to get -x.

$$15-k=32-x-s$$

Subtract 15 from both sides.

$$-k=32-x-s-15$$

Subtract 15 from 32 to get 17.

$$-k=17-x-s$$

The equation is in standard form.

$$-k=17-s-x$$

Divide both sides by -1.

$$\frac{-k}{-1}=\frac{17-s-x}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$k=\frac{17-s-x}{-1}$$

Divide 17-x-s by -1.

$$k=x+s-17$$

Solve for s

$$s=17+k-x$$

Solution Steps

Combine x and x to get 2x.

$$s+2x+7+7-k+1=32+x$$

Add 7 and 7 to get 14.

$$s+2x+14-k+1=32+x$$

Add 14 and 1 to get 15.

$$s+2x+15-k=32+x$$

Subtract 2x from both sides.

$$s+15-k=32+x-2x$$

Combine x and -2x to get -x.

$$s+15-k=32-x$$

Subtract 15 from both sides.

$$s-k=32-x-15$$

Subtract 15 from 32 to get 17.

$$s-k=17-x$$

Add k to both sides.

$$s=17-x+k$$