Solve -1-9-(-2x-|2|)=7x

Question

Solve the equation

x = - \frac{8}{5}

Alternative Form

x = - 1.6

Evaluate

- 1 - 9 - (- 2 x - ∣ 2 ∣) = 7 x

Simplify

More Steps

Evaluate

- 1 - 9 - (- 2 x - ∣ 2 ∣)

When the expression in absolute value bars is not negative, remove the bars

- 1 - 9 - (- 2 x - 2)

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

- 1 - 9 + 2 x + 2

Calculate the sum or difference

- 8 + 2 x

- 8 + 2 x = 7 x

Move the variable to the left side

- 8 + 2 x - 7 x = 0

Subtract the terms

More Steps

Evaluate

2 x - 7 x

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

(2 - 7) x

Subtract the numbers

- 5 x

- 8 - 5 x = 0

Move the constant to the right side

- 5 x = 0 + 8

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

- 5 x = 8

Change the signs on both sides of the equation

5 x = - 8

Divide both sides

\frac{5 x}{5} = \frac{- 8}{5}

Divide the numbers

x = \frac{- 8}{5}

Solution

x = - \frac{8}{5}

Alternative Form

x = - 1.6

Show Solution

Rewrite the equation

5 x = - 8

Evaluate

- 1 - 9 - (- 2 x - ∣ 2 ∣) = 7 x

Evaluate

More Steps

Evaluate

- 1 - 9 - (- 2 x - ∣ 2 ∣)

When the expression in absolute value bars is not negative, remove the bars

- 1 - 9 - (- 2 x - 2)

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

- 1 - 9 + 2 x + 2

Calculate the sum or difference

- 8 + 2 x

- 8 + 2 x = 7 x

Move the variable to the left side

- 8 - 5 x = 0

Move the constant to the right side

- 5 x = 8

Solution

5 x = - 8

Show Solution

Solve the equation

Rewrite the equation

Graph