Solve 2(3x-7)>-x - ScanMath

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Type your math problem... 2(3x-7)>-x

Question

Solve the inequality

x > 2

Alternative Form

x \in (2, + \infty)

Evaluate

2 (3 x - 7) > - x

Expand the expression

More Steps

Evaluate

2 (3 x - 7)

Apply the distributive property

2 \times 3 x - 2 \times 7

Multiply the numbers

6 x - 2 \times 7

Multiply the numbers

6 x - 14

6 x - 14 > - x

Move the variable to the left side

6 x - 14 + x > 0

Add the terms

More Steps

Evaluate

6 x + x

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

(6 + 1) x

Add the numbers

7 x

7 x - 14 > 0

Move the constant to the right side

7 x > 0 + 14

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

7 x > 14

Divide both sides

\frac{7 x}{7} > \frac{14}{7}

Divide the numbers

x > \frac{14}{7}

Solution

More Steps

Evaluate

\frac{14}{7}

Reduce the numbers

\frac{2}{1}

Calculate

2

x > 2

Alternative Form

x \in (2, + \infty)

Show Solution

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