Solve 4(6c-12)-4(3c-7)

Question

Simplify the expression

12 c - 20

Evaluate

4 (6 c - 12) - 4 (3 c - 7)

Expand the expression

More Steps

Calculate

4 (6 c - 12)

Apply the distributive property

4 \times 6 c - 4 \times 12

Multiply the numbers

24 c - 4 \times 12

Multiply the numbers

24 c - 48

24 c - 48 - 4 (3 c - 7)

Expand the expression

More Steps

Calculate

- 4 (3 c - 7)

Apply the distributive property

- 4 \times 3 c - (- 4 \times 7)

Multiply the numbers

- 12 c - (- 4 \times 7)

Multiply the numbers

- 12 c - (- 28)

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 c + 28

24 c - 48 - 12 c + 28

Subtract the terms

More Steps

Evaluate

24 c - 12 c

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

(24 - 12) c

Subtract the numbers

12 c

12 c - 48 + 28

Solution

12 c - 20

Show Solution

Factor the expression

4 (3 c - 5)

Evaluate

4 (6 c - 12) - 4 (3 c - 7)

Simplify

More Steps

Evaluate

4 (6 c - 12)

Apply the distributive property

4 \times 6 c + 4 (- 12)

Multiply the terms

24 c + 4 (- 12)

Multiply the terms

More Steps

Evaluate

4 (- 12)

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

- 4 \times 12

Multiply the numbers

- 48

24 c - 48

24 c - 48 - 4 (3 c - 7)

Simplify

More Steps

Evaluate

- 4 (3 c - 7)

Apply the distributive property

- 4 \times 3 c - 4 (- 7)

Multiply the terms

- 12 c - 4 (- 7)

Multiply the terms

More Steps

Evaluate

- 4 (- 7)

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

4 \times 7

Multiply the numbers

28

- 12 c + 28

24 c - 48 - 12 c + 28

Subtract the terms

More Steps

Evaluate

24 c - 12 c

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

(24 - 12) c

Subtract the numbers

12 c

12 c - 48 + 28

Add the numbers

12 c - 20

Solution

4 (3 c - 5)

Show Solution

Find the roots

c = \frac{5}{3}

Alternative Form

c = 1. \dot{6}

Evaluate

4 (6 c - 12) - 4 (3 c - 7)

To find the roots of the expression,set the expression equal to 0

4 (6 c - 12) - 4 (3 c - 7) = 0

Calculate

More Steps

Evaluate

4 (6 c - 12) - 4 (3 c - 7)

Expand the expression

More Steps

Calculate

4 (6 c - 12)

Apply the distributive property

4 \times 6 c - 4 \times 12

Multiply the numbers

24 c - 4 \times 12

Multiply the numbers

24 c - 48

24 c - 48 - 4 (3 c - 7)

Expand the expression

More Steps

Calculate

- 4 (3 c - 7)

Apply the distributive property

- 4 \times 3 c - (- 4 \times 7)

Multiply the numbers

- 12 c - (- 4 \times 7)

Multiply the numbers

- 12 c - (- 28)

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 c + 28

24 c - 48 - 12 c + 28

Subtract the terms

More Steps

Evaluate

24 c - 12 c

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

(24 - 12) c

Subtract the numbers

12 c

12 c - 48 + 28

Add the numbers

12 c - 20

12 c - 20 = 0

Move the constant to the right-hand side and change its sign

12 c = 0 + 20

Removing 0 doesn't change the value,so remove it from the expression

12 c = 20

Divide both sides

\frac{12 c}{12} = \frac{20}{12}

Divide the numbers

c = \frac{20}{12}

Solution

c = \frac{5}{3}

Alternative Form

c = 1. \dot{6}

Show Solution