Question

Use the Distributive Property to solve the equation. 3(x-6)+6=5x-4 what is x?

Answer 1

Answer:

x = -4

Step-by-step explanation:

1) Distribute

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

3x - 18 + 6 = 5x - 4

2) Add the numbers

3x - 18 + 6 = 5x - 4

3x - 12 = 5x - 4

3) Add 12 to both sides

3x - 12 = 5x - 4

3x - 12 + 12 = 5x - 4 + 12

4) Simplify

Add The Numbers:

3x - 12 + 12 = 5x - 4 + 12

3x = 5x - 4 + 12

Add the numbers:

3x = 5x - 4 + 12

3x = 5x + 8

5) Subtract 5x from both sides

3x = 5x + 8

3x - 5x = 5x + 8 - 5x

6) Simplify

Combine like terms:

3x - 5x = 5x + 8 - 5x

-2x = 5x + 8 - 5x

Combine like terms:

-2x = 5x + 8 - 8

-2x = 8

7) Divide both sides by each factor

-2x = 8

-2x/-2 = 8/-2

8) Simplify

Cancel terms that are in both the numerator and denominator:

-2x/2 = 8/-2

Divide the numbers:
x = 8/-2

x = -4

Solution:

x = -4

Answer 2

ANSWER: Given the equation, x = -4