Solve 166x = 5(1 - 2x) - 13

Question

Solve the equation

x = - \frac{1}{22}

Alternative Form

x = - 0.0 \dot{4} \dot{5}

Evaluate

166 x = 5 (1 - 2 x) - 13

Move the expression to the left side

166 x - (5 (1 - 2 x) - 13) = 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

166 x - 5 (1 - 2 x) + 13 = 0

Calculate the sum or difference

More Steps

Evaluate

166 x - 5 (1 - 2 x) + 13

Expand the expression

More Steps

Calculate

- 5 (1 - 2 x)

Apply the distributive property

- 5 \times 1 - (- 5 \times 2 x)

Any expression multiplied by 1 remains the same

- 5 - (- 5 \times 2 x)

Multiply the numbers

- 5 - (- 10 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 + 10 x

166 x - 5 + 10 x + 13

Add the terms

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Evaluate

166 x + 10 x

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

(166 + 10) x

Add the numbers

176 x

176 x - 5 + 13

Add the numbers

176 x + 8

176 x + 8 = 0

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

176 x = 0 - 8

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

176 x = - 8

Divide both sides

\frac{176 x}{176} = \frac{- 8}{176}

Divide the numbers

x = \frac{- 8}{176}

Solution

More Steps

Evaluate

\frac{- 8}{176}

Cancel out the common factor 8

\frac{- 1}{22}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{1}{22}

x = - \frac{1}{22}

Alternative Form

x = - 0.0 \dot{4} \dot{5}

Show Solution

Rewrite the equation

22 x = - 1

Evaluate

166 x = 5 (1 - 2 x) - 13

Evaluate

More Steps

Evaluate

5 (1 - 2 x) - 13

Expand the expression

More Steps

Calculate

5 (1 - 2 x)

Apply the distributive property

5 \times 1 - 5 \times 2 x

Any expression multiplied by 1 remains the same

5 - 5 \times 2 x

Multiply the numbers

5 - 10 x

5 - 10 x - 13

Subtract the numbers

- 8 - 10 x

166 x = - 8 - 10 x

Move the variable to the left side

176 x = - 8

Solution

22 x = - 1

Show Solution

Solve the equation

Rewrite the equation

Graph