Solve 3(2x-4)+3(x+1)

Question

Simplify the expression

9 x - 9

Evaluate

3 (2 x - 4) + 3 (x + 1)

Expand the expression

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Calculate

3 (2 x - 4)

Apply the distributive property

3 \times 2 x - 3 \times 4

Multiply the numbers

6 x - 3 \times 4

Multiply the numbers

6 x - 12

6 x - 12 + 3 (x + 1)

Expand the expression

More Steps

Calculate

3 (x + 1)

Apply the distributive property

3 x + 3 \times 1

Any expression multiplied by 1 remains the same

3 x + 3

6 x - 12 + 3 x + 3

Add the terms

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Evaluate

6 x + 3 x

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

(6 + 3) x

Add the numbers

9 x

9 x - 12 + 3

Solution

9 x - 9

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Factor the expression

9 (x - 1)

Evaluate

3 (2 x - 4) + 3 (x + 1)

Simplify

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Evaluate

3 (2 x - 4)

Apply the distributive property

3 \times 2 x + 3 (- 4)

Multiply the terms

6 x + 3 (- 4)

Multiply the terms

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Evaluate

3 (- 4)

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

- 3 \times 4

Multiply the numbers

- 12

6 x - 12

6 x - 12 + 3 (x + 1)

Simplify

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Evaluate

3 (x + 1)

Apply the distributive property

3 x + 3 \times 1

Any expression multiplied by 1 remains the same

3 x + 3

6 x - 12 + 3 x + 3

Add the terms

More Steps

Evaluate

6 x + 3 x

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

(6 + 3) x

Add the numbers

9 x

9 x - 12 + 3

Add the numbers

9 x - 9

Solution

9 (x - 1)

Show Solution

Find the roots

x = 1

Evaluate

3 (2 x - 4) + 3 (x + 1)

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

3 (2 x - 4) + 3 (x + 1) = 0

Calculate

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Evaluate

3 (2 x - 4) + 3 (x + 1)

Expand the expression

More Steps

Calculate

3 (2 x - 4)

Apply the distributive property

3 \times 2 x - 3 \times 4

Multiply the numbers

6 x - 3 \times 4

Multiply the numbers

6 x - 12

6 x - 12 + 3 (x + 1)

Expand the expression

More Steps

Calculate

3 (x + 1)

Apply the distributive property

3 x + 3 \times 1

Any expression multiplied by 1 remains the same

3 x + 3

6 x - 12 + 3 x + 3

Add the terms

More Steps

Evaluate

6 x + 3 x

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

(6 + 3) x

Add the numbers

9 x

9 x - 12 + 3

Add the numbers

9 x - 9

9 x - 9 = 0

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

9 x = 0 + 9

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

9 x = 9

Divide both sides

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

Divide the numbers

x = \frac{9}{9}

Solution

More Steps

Evaluate

\frac{9}{9}

Reduce the numbers

\frac{1}{1}

Calculate

1

x = 1

Show Solution