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

Question

Simplify the expression

6 x - 9

Evaluate

3 (4 x - 3) - 6 x

Expand the expression

More Steps

Calculate

3 (4 x - 3)

Apply the distributive property

3 \times 4 x - 3 \times 3

Multiply the numbers

12 x - 3 \times 3

Multiply the numbers

12 x - 9

12 x - 9 - 6 x

Solution

More Steps

Evaluate

12 x - 6 x

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

(12 - 6) x

Subtract the numbers

6 x

6 x - 9

Show Solution

Factor the expression

3 (2 x - 3)

Evaluate

3 (4 x - 3) - 6 x

Simplify

More Steps

Evaluate

3 (4 x - 3)

Apply the distributive property

3 \times 4 x + 3 (- 3)

Multiply the terms

12 x + 3 (- 3)

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

12 x - 9

12 x - 9 - 6 x

Subtract the terms

More Steps

Evaluate

12 x - 6 x

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

(12 - 6) x

Subtract the numbers

6 x

6 x - 9

Solution

3 (2 x - 3)

Show Solution

Find the roots

x = \frac{3}{2}

Alternative Form

x = 1.5

Evaluate

3 (4 x - 3) - 6 x

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

3 (4 x - 3) - 6 x = 0

Calculate

More Steps

Evaluate

3 (4 x - 3) - 6 x

Expand the expression

More Steps

Calculate

3 (4 x - 3)

Apply the distributive property

3 \times 4 x - 3 \times 3

Multiply the numbers

12 x - 3 \times 3

Multiply the numbers

12 x - 9

12 x - 9 - 6 x

Subtract the terms

More Steps

Evaluate

12 x - 6 x

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

(12 - 6) x

Subtract the numbers

6 x

6 x - 9

6 x - 9 = 0

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

6 x = 0 + 9

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

6 x = 9

Divide both sides

\frac{6 x}{6} = \frac{9}{6}

Divide the numbers

x = \frac{9}{6}

Solution

x = \frac{3}{2}

Alternative Form

x = 1.5

Show Solution