Solve 2(x+7)+3(x+1)

Question

Simplify the expression

5 x + 17

Evaluate

2 (x + 7) + 3 (x + 1)

Expand the expression

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Calculate

2 (x + 7)

Apply the distributive property

2 x + 2 \times 7

Multiply the numbers

2 x + 14

2 x + 14 + 3 (x + 1)

Expand the expression

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Calculate

3 (x + 1)

Apply the distributive property

3 x + 3 \times 1

Any expression multiplied by 1 remains the same

3 x + 3

2 x + 14 + 3 x + 3

Add the terms

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Evaluate

2 x + 3 x

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

(2 + 3) x

Add the numbers

5 x

5 x + 14 + 3

Solution

5 x + 17

Show Solution

Find the roots

x = - \frac{17}{5}

Alternative Form

x = - 3.4

Evaluate

2 (x + 7) + 3 (x + 1)

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

2 (x + 7) + 3 (x + 1) = 0

Calculate

More Steps

Evaluate

2 (x + 7) + 3 (x + 1)

Expand the expression

More Steps

Calculate

2 (x + 7)

Apply the distributive property

2 x + 2 \times 7

Multiply the numbers

2 x + 14

2 x + 14 + 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

2 x + 14 + 3 x + 3

Add the terms

More Steps

Evaluate

2 x + 3 x

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

(2 + 3) x

Add the numbers

5 x

5 x + 14 + 3

Add the numbers

5 x + 17

5 x + 17 = 0

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

5 x = 0 - 17

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

5 x = - 17

Divide both sides

\frac{5 x}{5} = \frac{- 17}{5}

Divide the numbers

x = \frac{- 17}{5}

Solution

x = - \frac{17}{5}

Alternative Form

x = - 3.4

Show Solution