Caitlyn needs to solve the equation: 2 (3x+1) = 3 (2-x). after copying the problem correctly she uses the Properties of Algebra to solve for x in 5 steps. There is a reason the justifies each step. What is the justification that Caitlyn used for each step? Name each Property of Algebra.

Step 1 6x + 2 = 6 - 3x

Step 2 2 = 6 - 9x

Step 3 - 4 = - 9x

Step 4 4/9 = x

Step 5 x = 4/9

Question

Mathematics

Nathalia Glass

Today, 11:47

Caitlyn needs to solve the equation: 2 (3x+1) = 3 (2-x). after copying the problem correctly she uses the Properties of Algebra to solve for x in 5 steps. There is a reason the justifies each step. What is the justification that Caitlyn used for each step? Name each Property of Algebra.

Step 1 6x + 2 = 6 - 3x

Step 2 2 = 6 - 9x

Step 3 - 4 = - 9x

Step 4 4/9 = x

Step 5 x = 4/9

+3

Answers (2)

Know the Answer?

Lena Robertson · Answer 1

See below.

Step-by-step explanation:

Step 1 6x + 2 = 6 - 3x Distributive property of multiplication over addition

Step 2 2 = 6 - 9x Subtraction property of equality

Step 3 - 4 = - 9x Subtraction property of equality

Step 4 4/9 = x Division property of equality

Step 5 x = 4/9 Symmetric property of equality

Bucky · Answer 2

x=49

Step-by-step explanation:

2 (3x+1) = 3 (2-x)

Step 1: Simplify both sides of the equation.

2 (3x+1) = 3 (2-x)

(2) (3x) + (2) (1) = (3) (2) + (3) (-x) (Distribute)

6x+2=6+-3x

6x+2=-3x+6

Step 2: Add 3x to both sides.

6x+2+3x=-3x+6+3x

9x+2=6

Step 3: Subtract 2 from both sides.

9x+2-2=6-2

9x=4

Step 4: Divide both sides by 9.

9x9=49

x=49