Solve 6x-4x 12>6-3x

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Type your math problem... 6x-4x 12>6-3x

Question

Solve the inequality

x < - \frac{2}{13}

Alternative Form

x \in (- \infty, - \frac{2}{13})

Evaluate

6 x - 4 x \times 12 > 6 - 3 x

Simplify

More Steps

Evaluate

6 x - 4 x \times 12

Multiply the terms

6 x - 48 x

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

(6 - 48) x

Subtract the numbers

- 42 x

- 42 x > 6 - 3 x

Move the variable to the left side

- 42 x + 3 x > 6

Add the terms

More Steps

Evaluate

- 42 x + 3 x

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

(- 42 + 3) x

Add the numbers

- 39 x

- 39 x > 6

Change the signs on both sides of the inequality and flip the inequality sign

39 x < - 6

Divide both sides

\frac{39 x}{39} < \frac{- 6}{39}

Divide the numbers

x < \frac{- 6}{39}

Solution

More Steps

Evaluate

\frac{- 6}{39}

Cancel out the common factor 3

\frac{- 2}{13}

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

- \frac{2}{13}

x < - \frac{2}{13}

Alternative Form

x \in (- \infty, - \frac{2}{13})

Show Solution

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