Solve 2x 8<4(x-6) 10

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Type your math problem... 2x 8<4(x-6) 10

Question

Solve the inequality

x > 10

Alternative Form

x \in (10, + \infty)

Evaluate

2 x \times 8 < 4 (x - 6) \times 10

Multiply the terms

16 x < 4 (x - 6) \times 10

Multiply the terms

16 x < 40 (x - 6)

Expand the expression

More Steps

Evaluate

40 (x - 6)

Apply the distributive property

40 x - 40 \times 6

Multiply the numbers

40 x - 240

16 x < 40 x - 240

Move the variable to the left side

16 x - 40 x < - 240

Subtract the terms

More Steps

Evaluate

16 x - 40 x

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

(16 - 40) x

Subtract the numbers

- 24 x

- 24 x < - 240

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

24 x > 240

Divide both sides

\frac{24 x}{24} > \frac{240}{24}

Divide the numbers

x > \frac{240}{24}

Solution

More Steps

Evaluate

\frac{240}{24}

Reduce the numbers

\frac{10}{1}

Calculate

10

x > 10

Alternative Form

x \in (10, + \infty)

Show Solution

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