Solve -1/2(12x-20)-2x=6x 17

Question

Solve the equation

x = \frac{1}{11}

Alternative Form

x = 0. \dot{0} \dot{9}

Evaluate

- \frac{1}{2} (12 x - 20) - 2 x = 6 x \times 17

Simplify

More Steps

Evaluate

- \frac{1}{2} (12 x - 20) - 2 x

Multiply the terms

More Steps

Evaluate

- \frac{1}{2} (12 x - 20)

Apply the distributive property

- \frac{1}{2} \times 12 x - (- \frac{1}{2} \times 20)

Multiply the numbers

- 6 x - (- \frac{1}{2} \times 20)

Multiply the numbers

- 6 x - (- 10)

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 + 10

- 6 x + 10 - 2 x

Subtract the terms

More Steps

Evaluate

- 6 x - 2 x

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

(- 6 - 2) x

Subtract the numbers

- 8 x

- 8 x + 10

- 8 x + 10 = 6 x \times 17

Multiply the terms

- 8 x + 10 = 102 x

Move the variable to the left side

- 8 x + 10 - 102 x = 0

Subtract the terms

More Steps

Evaluate

- 8 x - 102 x

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

(- 8 - 102) x

Subtract the numbers

- 110 x

- 110 x + 10 = 0

Move the constant to the right side

- 110 x = 0 - 10

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

- 110 x = - 10

Change the signs on both sides of the equation

110 x = 10

Divide both sides

\frac{110 x}{110} = \frac{10}{110}

Divide the numbers

x = \frac{10}{110}

Solution

x = \frac{1}{11}

Alternative Form

x = 0. \dot{0} \dot{9}

Show Solution

Rewrite the equation

11 x = 1

Evaluate

- \frac{1}{2} (12 x - 20) - 2 x = 6 x \times 17

Evaluate

More Steps

Evaluate

- \frac{1}{2} (12 x - 20) - 2 x

Multiply the terms

More Steps

Evaluate

- \frac{1}{2} (12 x - 20)

Apply the distributive property

- \frac{1}{2} \times 12 x - (- \frac{1}{2} \times 20)

Multiply the numbers

- 6 x - (- \frac{1}{2} \times 20)

Multiply the numbers

- 6 x - (- 10)

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 + 10

- 6 x + 10 - 2 x

Subtract the terms

More Steps

Evaluate

- 6 x - 2 x

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

(- 6 - 2) x

Subtract the numbers

- 8 x

- 8 x + 10

- 8 x + 10 = 6 x \times 17

Evaluate

- 8 x + 10 = 102 x

Move the variable to the left side

- 110 x + 10 = 0

Move the constant to the right side

- 110 x = - 10

Multiply both sides

110 x = 10

Solution

11 x = 1

Show Solution

Solve the equation

Rewrite the equation

Graph