Solve 5x-2(x-7) - ScanMath

Question

Simplify the expression

3 x + 14

Evaluate

5 x - 2 (x - 7)

Expand the expression

More Steps

Calculate

- 2 (x - 7)

Apply the distributive property

- 2 x - (- 2 \times 7)

Multiply the numbers

- 2 x - (- 14)

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

- 2 x + 14

5 x - 2 x + 14

Solution

More Steps

Evaluate

5 x - 2 x

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

(5 - 2) x

Subtract the numbers

3 x

3 x + 14

Show Solution

Find the roots

x = - \frac{14}{3}

Alternative Form

x = - 4. \dot{6}

Evaluate

5 x - 2 (x - 7)

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

5 x - 2 (x - 7) = 0

Calculate

More Steps

Evaluate

5 x - 2 (x - 7)

Expand the expression

More Steps

Calculate

- 2 (x - 7)

Apply the distributive property

- 2 x - (- 2 \times 7)

Multiply the numbers

- 2 x - (- 14)

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

- 2 x + 14

5 x - 2 x + 14

Subtract the terms

More Steps

Evaluate

5 x - 2 x

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

(5 - 2) x

Subtract the numbers

3 x

3 x + 14

3 x + 14 = 0

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

3 x = 0 - 14

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

3 x = - 14

Divide both sides

\frac{3 x}{3} = \frac{- 14}{3}

Divide the numbers

x = \frac{- 14}{3}

Solution

x = - \frac{14}{3}

Alternative Form

x = - 4. \dot{6}

Show Solution