Question

What is the justification for each step in the solution of the equation?

Answer 1

2x − 1 = 6(x+2)
 
2x  - 1 =6x+12
     10x + 11

*Combine Like Terms* 
*Distributive Property*  THIS IS THE ANSWER
*Addition or Subtraction Property of Equality*
*Multiplication or Division Property of Equalitly*

Answer 2

Answer:

Multiplication property of equality

Combine like terms

Subtraction property of equality

Division property of equality

Step-by-step explanation:

We are given that an equation

$\frac{2}{3}x-\frac{1}{3}=2(x+2)$

We have to find the justification for each step in the solution of the equation.

$\frac{2}{3}x-\frac{1}{3}=2(x+2)$

Given

$2x-1=6(x+2)$

Multiply property of equality

$2x-1=6x+12$

Distributive property

$2x=6x+12+1$

Addition property of equality

$2x=6x+13$

Combine like terms

$-4x=13$

Subtraction property of equality

$x=-\frac{13}{4}$

Division property of equality