Solve 7 - (2x 9) = 11x - 5 (1-x)

Question

Solve the equation

x = \frac{6}{17}

Alternative Form

x \approx 0.352941

Evaluate

7 - (2 x \times 9) = 11 x - 5 (1 - x)

Multiply the terms

7 - 18 x = 11 x - 5 (1 - x)

Move the expression to the left side

7 - 18 x - (11 x - 5 (1 - x)) = 0

Subtract the terms

More Steps

Evaluate

7 - 18 x - (11 x - 5 (1 - x))

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 - 18 x - 11 x + 5 (1 - x)

Subtract the terms

More Steps

Evaluate

- 18 x - 11 x

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

(- 18 - 11) x

Subtract the numbers

- 29 x

7 - 29 x + 5 (1 - x)

7 - 29 x + 5 (1 - x) = 0

Calculate the sum or difference

More Steps

Evaluate

7 - 29 x + 5 (1 - x)

Expand the expression

More Steps

Calculate

5 (1 - x)

Apply the distributive property

5 \times 1 - 5 x

Any expression multiplied by 1 remains the same

5 - 5 x

7 - 29 x + 5 - 5 x

Add the numbers

12 - 29 x - 5 x

Subtract the terms

More Steps

Evaluate

- 29 x - 5 x

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

(- 29 - 5) x

Subtract the numbers

- 34 x

12 - 34 x

12 - 34 x = 0

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

- 34 x = 0 - 12

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

- 34 x = - 12

Change the signs on both sides of the equation

34 x = 12

Divide both sides

\frac{34 x}{34} = \frac{12}{34}

Divide the numbers

x = \frac{12}{34}

Solution

x = \frac{6}{17}

Alternative Form

x \approx 0.352941

Show Solution

Rewrite the equation

17 x = 6

Evaluate

7 - (2 x \times 9) = 11 x - 5 (1 - x)

Evaluate

7 - 18 x = 11 x - 5 (1 - x)

Evaluate

More Steps

Evaluate

11 x - 5 (1 - x)

Expand the expression

More Steps

Calculate

- 5 (1 - x)

Apply the distributive property

- 5 \times 1 - (- 5 x)

Any expression multiplied by 1 remains the same

- 5 - (- 5 x)

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

- 5 + 5 x

11 x - 5 + 5 x

Add the terms

More Steps

Evaluate

11 x + 5 x

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

(11 + 5) x

Add the numbers

16 x

16 x - 5

7 - 18 x = 16 x - 5

Move the variable to the left side

7 - 34 x = - 5

Move the constant to the right side

- 34 x = - 12

Multiply both sides

34 x = 12

Solution

17 x = 6

Show Solution

Solve the equation

Rewrite the equation

Graph