Solve 4(2x 7) - 3(3x - 2) = 24

Question

Solve the equation

x = \frac{18}{47}

Alternative Form

x \approx 0.382979

Evaluate

4 (2 x \times 7) - 3 (3 x - 2) = 24

Remove the parentheses

4 \times 2 x \times 7 - 3 (3 x - 2) = 24

Multiply the terms

More Steps

Evaluate

4 \times 2 \times 7

Multiply the terms

8 \times 7

Multiply the numbers

56

56 x - 3 (3 x - 2) = 24

Move the expression to the left side

56 x - 3 (3 x - 2) - 24 = 0

Calculate

More Steps

Evaluate

56 x - 3 (3 x - 2) - 24

Expand the expression

More Steps

Calculate

- 3 (3 x - 2)

Apply the distributive property

- 3 \times 3 x - (- 3 \times 2)

Multiply the numbers

- 9 x - (- 3 \times 2)

Multiply the numbers

- 9 x - (- 6)

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

- 9 x + 6

56 x - 9 x + 6 - 24

Subtract the terms

More Steps

Evaluate

56 x - 9 x

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

(56 - 9) x

Subtract the numbers

47 x

47 x + 6 - 24

Subtract the numbers

47 x - 18

47 x - 18 = 0

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

47 x = 0 + 18

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

47 x = 18

Divide both sides

\frac{47 x}{47} = \frac{18}{47}

Solution

x = \frac{18}{47}

Alternative Form

x \approx 0.382979

Show Solution

Rewrite the equation

47 x = 18

Evaluate

4 (2 x \times 7) - 3 (3 x - 2) = 24

Evaluate

More Steps

Evaluate

4 (2 x \times 7) - 3 (3 x - 2)

Remove the parentheses

4 \times 2 x \times 7 - 3 (3 x - 2)

Multiply the terms

56 x - 3 (3 x - 2)

Expand the expression

More Steps

Calculate

- 3 (3 x - 2)

Apply the distributive property

- 3 \times 3 x - (- 3 \times 2)

Multiply the numbers

- 9 x - (- 3 \times 2)

Multiply the numbers

- 9 x - (- 6)

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

- 9 x + 6

56 x - 9 x + 6

Subtract the terms

More Steps

Evaluate

56 x - 9 x

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

(56 - 9) x

Subtract the numbers

47 x

47 x + 6

47 x + 6 = 24

Solution

47 x = 18

Show Solution

Solve the equation

Rewrite the equation

Graph