Solve 4x-13(x-1) - ScanMath

Question

Simplify the expression

- 9 x + 13

Evaluate

4 x - 13 (x - 1)

Expand the expression

More Steps

Calculate

- 13 (x - 1)

Apply the distributive property

- 13 x - (- 13 \times 1)

Any expression multiplied by 1 remains the same

- 13 x - (- 13)

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

- 13 x + 13

4 x - 13 x + 13

Solution

More Steps

Evaluate

4 x - 13 x

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

(4 - 13) x

Subtract the numbers

- 9 x

- 9 x + 13

Show Solution

Find the roots

x = \frac{13}{9}

Alternative Form

x = 1. \dot{4}

Evaluate

4 x - 13 (x - 1)

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

4 x - 13 (x - 1) = 0

Calculate

More Steps

Evaluate

4 x - 13 (x - 1)

Expand the expression

More Steps

Calculate

- 13 (x - 1)

Apply the distributive property

- 13 x - (- 13 \times 1)

Any expression multiplied by 1 remains the same

- 13 x - (- 13)

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

- 13 x + 13

4 x - 13 x + 13

Subtract the terms

More Steps

Evaluate

4 x - 13 x

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

(4 - 13) x

Subtract the numbers

- 9 x

- 9 x + 13

- 9 x + 13 = 0

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

- 9 x = 0 - 13

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

- 9 x = - 13

Change the signs on both sides of the equation

9 x = 13

Divide both sides

\frac{9 x}{9} = \frac{13}{9}

Solution

x = \frac{13}{9}

Alternative Form

x = 1. \dot{4}

Show Solution