Solve 7=(x-3)+a/4

$$7 = \frac { ( x - 3 ) + a } { 4 }$$

Solve for a

$$a=31-x$$

Solution Steps

Multiply both sides by 4.

$$7\times 4=x-3+a$$

Multiply 7 and 4 to get 28.

$$28=x-3+a$$

Swap sides so that all variable terms are on the left hand side.

$$x-3+a=28$$

Subtract x from both sides.

$$-3+a=28-x$$

Add 3 to both sides.

$$a=28-x+3$$

Add 28 and 3 to get 31.

$$a=31-x$$

Solve for x

$$x=31-a$$

Solution Steps

Multiply both sides by 4.

$$7\times 4=x-3+a$$

Multiply 7 and 4 to get 28.

$$28=x-3+a$$

Swap sides so that all variable terms are on the left hand side.

$$x-3+a=28$$

Add 3 to both sides.

$$x+a=28+3$$

Add 28 and 3 to get 31.

$$x+a=31$$

Subtract a from both sides.

$$x=31-a$$