Solve (7x-13)-3(x-5)

Question

Simplify the expression

4 x + 2

Evaluate

(7 x - 13) - 3 (x - 5)

Remove the parentheses

7 x - 13 - 3 (x - 5)

Expand the expression

More Steps

Calculate

- 3 (x - 5)

Apply the distributive property

- 3 x - (- 3 \times 5)

Multiply the numbers

- 3 x - (- 15)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 3 x + 15

7 x - 13 - 3 x + 15

Subtract the terms

More Steps

Evaluate

7 x - 3 x

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

(7 - 3) x

Subtract the numbers

4 x

4 x - 13 + 15

Solution

4 x + 2

Show Solution

Factor the expression

2 (2 x + 1)

Evaluate

(7 x - 13) - 3 (x - 5)

Remove the parentheses

7 x - 13 - 3 (x - 5)

Simplify

More Steps

Evaluate

- 3 (x - 5)

Apply the distributive property

- 3 x - 3 (- 5)

Multiply the terms

More Steps

Evaluate

- 3 (- 5)

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

3 \times 5

Multiply the numbers

15

- 3 x + 15

7 x - 13 - 3 x + 15

Subtract the terms

More Steps

Evaluate

7 x - 3 x

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

(7 - 3) x

Subtract the numbers

4 x

4 x - 13 + 15

Add the numbers

4 x + 2

Solution

2 (2 x + 1)

Show Solution

Find the roots

x = - \frac{1}{2}

Alternative Form

x = - 0.5

Evaluate

(7 x - 13) - 3 (x - 5)

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

(7 x - 13) - 3 (x - 5) = 0

Remove the parentheses

7 x - 13 - 3 (x - 5) = 0

Calculate

More Steps

Evaluate

7 x - 13 - 3 (x - 5)

Expand the expression

More Steps

Calculate

- 3 (x - 5)

Apply the distributive property

- 3 x - (- 3 \times 5)

Multiply the numbers

- 3 x - (- 15)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 3 x + 15

7 x - 13 - 3 x + 15

Subtract the terms

More Steps

Evaluate

7 x - 3 x

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

(7 - 3) x

Subtract the numbers

4 x

4 x - 13 + 15

Add the numbers

4 x + 2

4 x + 2 = 0

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

4 x = 0 - 2

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

4 x = - 2

Divide both sides

\frac{4 x}{4} = \frac{- 2}{4}

Divide the numbers

x = \frac{- 2}{4}

Solution

More Steps

Evaluate

\frac{- 2}{4}

Cancel out the common factor 2

\frac{- 1}{2}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{1}{2}

x = - \frac{1}{2}

Alternative Form

x = - 0.5

Show Solution