Solve 15(8x-6y)-(5y-3x)*24

Question

Simplify the expression

192 x - 210 y

Evaluate

15 (8 x - 6 y) - (5 y - 3 x) \times 24

Multiply the terms

15 (8 x - 6 y) - 24 (5 y - 3 x)

Expand the expression

More Steps

Calculate

15 (8 x - 6 y)

Apply the distributive property

15 \times 8 x - 15 \times 6 y

Multiply the numbers

120 x - 15 \times 6 y

Multiply the numbers

120 x - 90 y

120 x - 90 y - 24 (5 y - 3 x)

Expand the expression

More Steps

Calculate

- 24 (5 y - 3 x)

Apply the distributive property

- 24 \times 5 y - (- 24 \times 3 x)

Multiply the numbers

- 120 y - (- 24 \times 3 x)

Multiply the numbers

- 120 y - (- 72 x)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 120 y + 72 x

120 x - 90 y - 120 y + 72 x

Add the terms

More Steps

Evaluate

120 x + 72 x

Collect like terms by calculating the sum or difference of their coefficients

(120 + 72) x

Add the numbers

192 x

192 x - 90 y - 120 y

Solution

More Steps

Evaluate

- 90 y - 120 y

Collect like terms by calculating the sum or difference of their coefficients

(- 90 - 120) y

Subtract the numbers

- 210 y

192 x - 210 y

Show Solution

Factor the expression

6 (32 x - 35 y)

Evaluate

15 (8 x - 6 y) - (5 y - 3 x) \times 24

Multiply the terms

15 (8 x - 6 y) - 24 (5 y - 3 x)

Simplify

More Steps

Evaluate

15 (8 x - 6 y)

Apply the distributive property

15 \times 8 x + 15 (- 6 y)

Multiply the terms

120 x + 15 (- 6 y)

Multiply the terms

More Steps

Evaluate

15 (- 6)

Multiplying or dividing an odd number of negative terms equals a negative

- 15 \times 6

Multiply the numbers

- 90

120 x - 90 y

120 x - 90 y - 24 (5 y - 3 x)

Simplify

More Steps

Evaluate

- 24 (5 y - 3 x)

Apply the distributive property

- 24 \times 5 y - 24 (- 3 x)

Multiply the terms

- 120 y - 24 (- 3 x)

Multiply the terms

More Steps

Evaluate

- 24 (- 3)

Multiplying or dividing an even number of negative terms equals a positive

24 \times 3

Multiply the numbers

72

- 120 y + 72 x

120 x - 90 y - 120 y + 72 x

Add the terms

More Steps

Evaluate

120 x + 72 x

Collect like terms by calculating the sum or difference of their coefficients

(120 + 72) x

Add the numbers

192 x

192 x - 90 y - 120 y

Subtract the terms

More Steps

Evaluate

- 90 y - 120 y

Collect like terms by calculating the sum or difference of their coefficients

(- 90 - 120) y

Subtract the numbers

- 210 y

192 x - 210 y

Solution

6 (32 x - 35 y)

Show Solution