Solve -2(3x-4)-4x 1=-41

Question

Solve the equation

x = \frac{49}{10}

Alternative Form

x = 4.9

Evaluate

- 2 (3 x - 4) - 4 x \times 1 = - 41

Multiply the terms

- 2 (3 x - 4) - 4 x = - 41

Move the expression to the left side

- 2 (3 x - 4) - 4 x - (- 41) = 0

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 (3 x - 4) - 4 x + 41 = 0

Calculate the sum or difference

More Steps

Evaluate

- 2 (3 x - 4) - 4 x + 41

Expand the expression

More Steps

Calculate

- 2 (3 x - 4)

Apply the distributive property

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

Multiply the numbers

- 6 x - (- 2 \times 4)

Multiply the numbers

- 6 x - (- 8)

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

- 6 x + 8

- 6 x + 8 - 4 x + 41

Subtract the terms

More Steps

Evaluate

- 6 x - 4 x

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

(- 6 - 4) x

Subtract the numbers

- 10 x

- 10 x + 8 + 41

Add the numbers

- 10 x + 49

- 10 x + 49 = 0

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

- 10 x = 0 - 49

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

- 10 x = - 49

Change the signs on both sides of the equation

10 x = 49

Divide both sides

\frac{10 x}{10} = \frac{49}{10}

Solution

x = \frac{49}{10}

Alternative Form

x = 4.9

Show Solution

Rewrite the equation

10 x = 49

Evaluate

- 2 (3 x - 4) - 4 x \times 1 = - 41

Evaluate

More Steps

Evaluate

- 2 (3 x - 4) - 4 x \times 1

Multiply the terms

- 2 (3 x - 4) - 4 x

Expand the expression

More Steps

Calculate

- 2 (3 x - 4)

Apply the distributive property

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

Multiply the numbers

- 6 x - (- 2 \times 4)

Multiply the numbers

- 6 x - (- 8)

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

- 6 x + 8

- 6 x + 8 - 4 x

Subtract the terms

More Steps

Evaluate

- 6 x - 4 x

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

(- 6 - 4) x

Subtract the numbers

- 10 x

- 10 x + 8

- 10 x + 8 = - 41

Move the constant to the right side

- 10 x = - 49

Solution

10 x = 49

Show Solution

Solve the equation

Rewrite the equation

Graph