Separate $90 into two parts so that the second part is $30 less than twice the first part.

**x = first part**

2x - 30 = second part{second part is 30 less than twice first}

2x - 30 = second part

x + 2x - 30 = 90 {the two parts add together to equal 90}

3x - 30 = 90 {combined like terms}

3x = 120 {added 30 to each side}

x = 40 {divided each side by 3}

2x - 30 = 50 {substituted 40, in for x, into 2x - 30}

**$40**and

**$50**are the two parts

*- Algebra House*