Solve 3(6x-3a)-4(3x-3a)

Question

Simplify the expression

6 x + 3 a

Evaluate

3 (6 x - 3 a) - 4 (3 x - 3 a)

Expand the expression

More Steps

Calculate

3 (6 x - 3 a)

Apply the distributive property

3 \times 6 x - 3 \times 3 a

Multiply the numbers

18 x - 3 \times 3 a

Multiply the numbers

18 x - 9 a

18 x - 9 a - 4 (3 x - 3 a)

Expand the expression

More Steps

Calculate

- 4 (3 x - 3 a)

Apply the distributive property

- 4 \times 3 x - (- 4 \times 3 a)

Multiply the numbers

- 12 x - (- 4 \times 3 a)

Multiply the numbers

- 12 x - (- 12 a)

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

- 12 x + 12 a

18 x - 9 a - 12 x + 12 a

Subtract the terms

More Steps

Evaluate

18 x - 12 x

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

(18 - 12) x

Subtract the numbers

6 x

6 x - 9 a + 12 a

Solution

More Steps

Evaluate

- 9 a + 12 a

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

(- 9 + 12) a

Add the numbers

3 a

6 x + 3 a

Show Solution

Factor the expression

3 (2 x + a)

Evaluate

3 (6 x - 3 a) - 4 (3 x - 3 a)

Simplify

More Steps

Evaluate

3 (6 x - 3 a)

Apply the distributive property

3 \times 6 x + 3 (- 3 a)

Multiply the terms

18 x + 3 (- 3 a)

Multiply the terms

More Steps

Evaluate

3 (- 3)

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

- 3 \times 3

Multiply the numbers

- 9

18 x - 9 a

18 x - 9 a - 4 (3 x - 3 a)

Simplify

More Steps

Evaluate

- 4 (3 x - 3 a)

Apply the distributive property

- 4 \times 3 x - 4 (- 3 a)

Multiply the terms

- 12 x - 4 (- 3 a)

Multiply the terms

More Steps

Evaluate

- 4 (- 3)

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

4 \times 3

Multiply the numbers

12

- 12 x + 12 a

18 x - 9 a - 12 x + 12 a

Subtract the terms

More Steps

Evaluate

18 x - 12 x

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

(18 - 12) x

Subtract the numbers

6 x

6 x - 9 a + 12 a

Add the terms

More Steps

Evaluate

- 9 a + 12 a

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

(- 9 + 12) a

Add the numbers

3 a

6 x + 3 a

Solution

3 (2 x + a)

Show Solution