The table shows the steps for solving the given inequality for x.

-3 (4 - 6x) < x + 5

Select the reason for each step from the drop-down menus.

-3 (4 - 6x) < x + 5 Given

-12 + 18x < x + 5

-12 + 17x < 5 Subtraction Property of Order

17 x < 17

x < 1

We are given : - 3 (4-6x) < x+5.

Solution: - 3 is in front of Parenthesis.

We need to multiply - 3 by (4-6x).

So, we need to applying distributive property.

On distributing, we get

-12+18x < x+5 (By distributive property)

The reverse operation of addition is subtraction. So we need to subtract x from both sides, we get

-12+18x-x < x-x+5 (By subtraction property of equality).

-12+17x < 5

Now, we need to get rid - 12 from left side.

So, we need to apply addition property of equality, we need to add 12 on both sides, we get

-12+12+18x < x+5+12 (By addition property of equality)

17x < 17

We need to get rid 17 from left side. So we need to apply division property of equality.

On dividing both sides by 17, we get

17x/17 < 17/17 (By division property of equality)

x < 1.