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What value of x is in the solution set of 3(x-4)>5x+2?

User Johnnyaug
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1 Answer

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3(x - 4) > 5x + 2

First you must distribute the 3 to the numbers inside the parentheses

(3 * x) + (3 * (-4)) > 5x + 2

3x + (-12) > 5x + 2

3x - 12 > 5x + 2

Now you must combine like terms

3x goes with 5x

^^^To do this subtract 3x to both sides of the equation

(3x - 3x) - 12 > (5x - 3x) + 2

0 - 12 > 2x + 2

-12 > 2x + 2

-12 goes with 2

^^^To do this subtract 2 to both sides

-12 - 2 > 2x + (2 - 2)

-14 > 2x + 0

-14 > 2x

Isolate x by dividing 2 to both sides

-14/2 > 2x/2

-7 > x

Hope this helped!

~Just a girl in love with Shawn Mendes

User Shlomi Uziel
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