Solve 4(x-3)-3(4-2x)

Question

Simplify the expression

10 x - 24

Evaluate

4 (x - 3) - 3 (4 - 2 x)

Expand the expression

More Steps

Calculate

4 (x - 3)

Apply the distributive property

4 x - 4 \times 3

Multiply the numbers

4 x - 12

4 x - 12 - 3 (4 - 2 x)

Expand the expression

More Steps

Calculate

- 3 (4 - 2 x)

Apply the distributive property

- 3 \times 4 - (- 3 \times 2 x)

Multiply the numbers

- 12 - (- 3 \times 2 x)

Multiply the numbers

- 12 - (- 6 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

- 12 + 6 x

4 x - 12 - 12 + 6 x

Add the terms

More Steps

Evaluate

4 x + 6 x

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

(4 + 6) x

Add the numbers

10 x

10 x - 12 - 12

Solution

10 x - 24

Show Solution

Factor the expression

2 (5 x - 12)

Evaluate

4 (x - 3) - 3 (4 - 2 x)

Simplify

More Steps

Evaluate

4 (x - 3)

Apply the distributive property

4 x + 4 (- 3)

Multiply the terms

More Steps

Evaluate

4 (- 3)

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

- 4 \times 3

Multiply the numbers

- 12

4 x - 12

4 x - 12 - 3 (4 - 2 x)

Simplify

More Steps

Evaluate

- 3 (4 - 2 x)

Apply the distributive property

- 3 \times 4 - 3 (- 2 x)

Multiply the terms

- 12 - 3 (- 2 x)

Multiply the terms

More Steps

Evaluate

- 3 (- 2)

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

3 \times 2

Multiply the numbers

6

- 12 + 6 x

4 x - 12 - 12 + 6 x

Add the terms

More Steps

Evaluate

4 x + 6 x

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

(4 + 6) x

Add the numbers

10 x

10 x - 12 - 12

Subtract the numbers

10 x - 24

Solution

2 (5 x - 12)

Show Solution

Find the roots

x = \frac{12}{5}

Alternative Form

x = 2.4

Evaluate

4 (x - 3) - 3 (4 - 2 x)

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

4 (x - 3) - 3 (4 - 2 x) = 0

Calculate

More Steps

Evaluate

4 (x - 3) - 3 (4 - 2 x)

Expand the expression

More Steps

Calculate

4 (x - 3)

Apply the distributive property

4 x - 4 \times 3

Multiply the numbers

4 x - 12

4 x - 12 - 3 (4 - 2 x)

Expand the expression

More Steps

Calculate

- 3 (4 - 2 x)

Apply the distributive property

- 3 \times 4 - (- 3 \times 2 x)

Multiply the numbers

- 12 - (- 3 \times 2 x)

Multiply the numbers

- 12 - (- 6 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

- 12 + 6 x

4 x - 12 - 12 + 6 x

Add the terms

More Steps

Evaluate

4 x + 6 x

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

(4 + 6) x

Add the numbers

10 x

10 x - 12 - 12

Subtract the numbers

10 x - 24

10 x - 24 = 0

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

10 x = 0 + 24

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

10 x = 24

Divide both sides

\frac{10 x}{10} = \frac{24}{10}

Divide the numbers

x = \frac{24}{10}

Solution

x = \frac{12}{5}

Alternative Form

x = 2.4

Show Solution