Solve -10=8-2|3x|

Question

Solve the equation

x_{1} = - 3, x_{2} = 3

Evaluate

- 10 = 8 - 2 ∣ 3 x ∣

Swap the sides of the equation

8 - 2 ∣ 3 x ∣ = - 10

Move the expression to the left side

8 - 2 ∣ 3 x ∣ - (- 10) = 0

Subtract the numbers

More Steps

Evaluate

8 - (- 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

8 + 10

Add the numbers

18

18 - 2 ∣ 3 x ∣ = 0

Separate the equation into 2 possible cases

18 - 2 \times 3 x = 0, 3 x \geq 0 18 - 2 (- 3 x) = 0, 3 x < 0

Solve the equation

More Steps

Evaluate

18 - 2 \times 3 x = 0

Calculate

18 - 6 x = 0

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

- 6 x = 0 - 18

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

- 6 x = - 18

Change the signs on both sides of the equation

6 x = 18

Divide both sides

\frac{6 x}{6} = \frac{18}{6}

Divide the numbers

x = \frac{18}{6}

Divide the numbers

More Steps

Evaluate

\frac{18}{6}

Reduce the numbers

\frac{3}{1}

Calculate

3

x = 3

x = 3, 3 x \geq 0 18 - 2 (- 3 x) = 0, 3 x < 0

Solve the inequality

x = 3, x \geq 0 18 - 2 (- 3 x) = 0, 3 x < 0

Solve the equation

More Steps

Evaluate

18 - 2 (- 3 x) = 0

Calculate

18 + 6 x = 0

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

6 x = 0 - 18

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

6 x = - 18

Divide both sides

\frac{6 x}{6} = \frac{- 18}{6}

Divide the numbers

x = \frac{- 18}{6}

Divide the numbers

More Steps

Evaluate

\frac{- 18}{6}

Reduce the numbers

\frac{- 3}{1}

Calculate

- 3

x = - 3

x = 3, x \geq 0 x = - 3, 3 x < 0

Solve the inequality

x = 3, x \geq 0 x = - 3, x < 0

Find the intersection

x = 3 x = - 3, x < 0

Find the intersection

x = 3 x = - 3

Solution

x_{1} = - 3, x_{2} = 3

Show Solution

Solve the equation

Graph