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

Question

Simplify the expression

9 x + 11

Evaluate

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

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

3 x + 3 + 2 (3 x + 4)

Expand the expression

More Steps

Calculate

2 (3 x + 4)

Apply the distributive property

2 \times 3 x + 2 \times 4

Multiply the numbers

6 x + 2 \times 4

Multiply the numbers

6 x + 8

3 x + 3 + 6 x + 8

Add the terms

More Steps

Evaluate

3 x + 6 x

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

(3 + 6) x

Add the numbers

9 x

9 x + 3 + 8

Solution

9 x + 11

Show Solution

Find the roots

x = - \frac{11}{9}

Alternative Form

x = - 1. \dot{2}

Evaluate

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

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

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

Calculate

More Steps

Evaluate

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

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

3 x + 3 + 2 (3 x + 4)

Expand the expression

More Steps

Calculate

2 (3 x + 4)

Apply the distributive property

2 \times 3 x + 2 \times 4

Multiply the numbers

6 x + 2 \times 4

Multiply the numbers

6 x + 8

3 x + 3 + 6 x + 8

Add the terms

More Steps

Evaluate

3 x + 6 x

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

(3 + 6) x

Add the numbers

9 x

9 x + 3 + 8

Add the numbers

9 x + 11

9 x + 11 = 0

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

9 x = 0 - 11

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

9 x = - 11

Divide both sides

\frac{9 x}{9} = \frac{- 11}{9}

Divide the numbers

x = \frac{- 11}{9}

Solution

x = - \frac{11}{9}

Alternative Form

x = - 1. \dot{2}

Show Solution