Brian solved the following equation:

6(3x – 5) = 4(4x + 2)

step work justification
1 18x – 30 = 16x + 8
2 2x – 30 = 8
3 2x = 38
4 x = 19

which of the following has all correct justifications brian used to solve this equation?
1. associative property of addition. 2. subtraction property of equality. 3. addition property of equality. 4. multiplicative inverse.

1. associative property of addition. 2. subtraction property of equality. 3. addition property of equality. 4. division property of equality.

1. distributive property. 2. subtraction property of equality. 3. addition property of equality. 4. division property of equality.

1. distributive property. 2. subtraction property of equality. 3. addition property of equality. 4. multiplicative property of equality.

The answer is C

Step-by-step explanation:

1. Distributive property. 2. Subtraction property of equality. 3. Addition property of equality. 4. Division property of equality.

6(3x - 5) = 4(4x + 2)    Given

(6)(3x) + (6)(-5) = (4)(4x) + (4)(2)    Distributive property

18x - 30 = 16x + 8

18x - 16x - 30 = 16x - 16x + 8     Subtraction property of equality

2x - 30 = 8

2x - 30 + 30 = 8 + 30     Addition property of equality

2x = 38

2x : 2 = 38 : 2     Division property of equality

x = 19

step-by-step explanation:

b and c

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950