Solve 3(- 1/3*1/2 ) 2x=-1-(6x- 1/2 )

Question

Solve the equation

x = - \frac{1}{10}

Alternative Form

x = - 0.1

Evaluate

3 (- \frac{1}{3} \times \frac{1}{2}) \times 2 x = - 1 - (6 x - \frac{1}{2})

Simplify

More Steps

Evaluate

3 (- \frac{1}{3} \times \frac{1}{2}) \times 2 x

Multiply the numbers

More Steps

Evaluate

\frac{1}{3} \times \frac{1}{2}

To multiply the fractions,multiply the numerators and denominators separately

\frac{1}{3 \times 2}

Multiply the numbers

\frac{1}{6}

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

Rewrite the expression

- 3 \times \frac{1}{6} \times 2 x

Multiply the terms

More Steps

Evaluate

3 \times \frac{1}{6} \times 2

Multiply the terms

\frac{1}{2} \times 2

Reduce the numbers

1 \times 1

Simplify

1

- x

- x = - 1 - (6 x - \frac{1}{2})

Subtract the terms

More Steps

Evaluate

- 1 - (6 x - \frac{1}{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 - 6 x + \frac{1}{2}

Add the numbers

More Steps

Evaluate

- 1 + \frac{1}{2}

Reduce fractions to a common denominator

- \frac{2}{2} + \frac{1}{2}

Write all numerators above the common denominator

\frac{- 2 + 1}{2}

Add the numbers

\frac{- 1}{2}

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

- \frac{1}{2}

- \frac{1}{2} - 6 x

- x = - \frac{1}{2} - 6 x

Move the variable to the left side

- x + 6 x = - \frac{1}{2}

Add the terms

More Steps

Evaluate

- x + 6 x

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

(- 1 + 6) x

Add the numbers

5 x

5 x = - \frac{1}{2}

Multiply by the reciprocal

5 x \times \frac{1}{5} = - \frac{1}{2} \times \frac{1}{5}

Multiply

x = - \frac{1}{2} \times \frac{1}{5}

Solution

More Steps

Evaluate

- \frac{1}{2} \times \frac{1}{5}

To multiply the fractions,multiply the numerators and denominators separately

- \frac{1}{2 \times 5}

Multiply the numbers

- \frac{1}{10}

x = - \frac{1}{10}

Alternative Form

x = - 0.1

Show Solution

Rewrite the equation

10 x = - 1

Evaluate

3 (- \frac{1}{3} \times \frac{1}{2}) \times 2 x = - 1 - (6 x - \frac{1}{2})

Evaluate

More Steps

Evaluate

3 (- \frac{1}{3} \times \frac{1}{2}) \times 2 x

Multiply the numbers

More Steps

Evaluate

\frac{1}{3} \times \frac{1}{2}

To multiply the fractions,multiply the numerators and denominators separately

\frac{1}{3 \times 2}

Multiply the numbers

\frac{1}{6}

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

Rewrite the expression

- 3 \times \frac{1}{6} \times 2 x

Multiply the terms

More Steps

Evaluate

3 \times \frac{1}{6} \times 2

Multiply the terms

\frac{1}{2} \times 2

Reduce the numbers

1 \times 1

Simplify

1

- x

- x = - 1 - (6 x - \frac{1}{2})

Evaluate

More Steps

Evaluate

- 1 - (6 x - \frac{1}{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 - 6 x + \frac{1}{2}

Add the numbers

More Steps

Evaluate

- 1 + \frac{1}{2}

Reduce fractions to a common denominator

- \frac{2}{2} + \frac{1}{2}

Write all numerators above the common denominator

\frac{- 2 + 1}{2}

Add the numbers

\frac{- 1}{2}

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

- \frac{1}{2}

- \frac{1}{2} - 6 x

- x = - \frac{1}{2} - 6 x

Multiply both sides of the equation by LCD

- 2 x = - 1 - 12 x

Solution

10 x = - 1

Show Solution

Solve the equation

Rewrite the equation

Graph