Solve 4(2x-5) - 3(x-7)

Question

Simplify the expression

5 x + 1

Evaluate

4 (2 x - 5) - 3 (x - 7)

Expand the expression

More Steps

Calculate

4 (2 x - 5)

Apply the distributive property

4 \times 2 x - 4 \times 5

Multiply the numbers

8 x - 4 \times 5

Multiply the numbers

8 x - 20

8 x - 20 - 3 (x - 7)

Expand the expression

More Steps

Calculate

- 3 (x - 7)

Apply the distributive property

- 3 x - (- 3 \times 7)

Multiply the numbers

- 3 x - (- 21)

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 + 21

8 x - 20 - 3 x + 21

Subtract the terms

More Steps

Evaluate

8 x - 3 x

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

(8 - 3) x

Subtract the numbers

5 x

5 x - 20 + 21

Solution

5 x + 1

Show Solution

Find the roots

x = - \frac{1}{5}

Alternative Form

x = - 0.2

Evaluate

4 (2 x - 5) - 3 (x - 7)

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

4 (2 x - 5) - 3 (x - 7) = 0

Calculate

More Steps

Evaluate

4 (2 x - 5) - 3 (x - 7)

Expand the expression

More Steps

Calculate

4 (2 x - 5)

Apply the distributive property

4 \times 2 x - 4 \times 5

Multiply the numbers

8 x - 4 \times 5

Multiply the numbers

8 x - 20

8 x - 20 - 3 (x - 7)

Expand the expression

More Steps

Calculate

- 3 (x - 7)

Apply the distributive property

- 3 x - (- 3 \times 7)

Multiply the numbers

- 3 x - (- 21)

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 + 21

8 x - 20 - 3 x + 21

Subtract the terms

More Steps

Evaluate

8 x - 3 x

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

(8 - 3) x

Subtract the numbers

5 x

5 x - 20 + 21

Add the numbers

5 x + 1

5 x + 1 = 0

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

5 x = 0 - 1

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

5 x = - 1

Divide both sides

\frac{5 x}{5} = \frac{- 1}{5}

Divide the numbers

x = \frac{- 1}{5}

Solution

x = - \frac{1}{5}

Alternative Form

x = - 0.2

Show Solution