Solve 5(x 1)-7(x-1)

Question

Simplify the expression

- 2 x + 7

Evaluate

5 (x \times 1) - 7 (x - 1)

Remove the parentheses

5 x \times 1 - 7 (x - 1)

Multiply the terms

5 x - 7 (x - 1)

Expand the expression

More Steps

Calculate

- 7 (x - 1)

Apply the distributive property

- 7 x - (- 7 \times 1)

Any expression multiplied by 1 remains the same

- 7 x - (- 7)

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

- 7 x + 7

5 x - 7 x + 7

Solution

More Steps

Evaluate

5 x - 7 x

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

(5 - 7) x

Subtract the numbers

- 2 x

- 2 x + 7

Show Solution

Find the roots

x = \frac{7}{2}

Alternative Form

x = 3.5

Evaluate

5 (x \times 1) - 7 (x - 1)

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

5 (x \times 1) - 7 (x - 1) = 0

Any expression multiplied by 1 remains the same

5 x - 7 (x - 1) = 0

Calculate

More Steps

Evaluate

5 x - 7 (x - 1)

Expand the expression

More Steps

Calculate

- 7 (x - 1)

Apply the distributive property

- 7 x - (- 7 \times 1)

Any expression multiplied by 1 remains the same

- 7 x - (- 7)

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

- 7 x + 7

5 x - 7 x + 7

Subtract the terms

More Steps

Evaluate

5 x - 7 x

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

(5 - 7) x

Subtract the numbers

- 2 x

- 2 x + 7

- 2 x + 7 = 0

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

- 2 x = 0 - 7

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

- 2 x = - 7

Change the signs on both sides of the equation

2 x = 7

Divide both sides

\frac{2 x}{2} = \frac{7}{2}

Solution

x = \frac{7}{2}

Alternative Form

x = 3.5

Show Solution