Question

solve equations and justidy .notebook you have discussed many algebraic properties and are now ready to logically justify your reasons for solving equations. Justify each step of the following solution of an equation. (2x+5) +7=4x+2

Answer 1

Answer with Step-by-step explanation:

We are given that an equation

`(2x+5)+7=4x+2`

We have to find the solution of given equation with justification of each step

Step 1:
`(2x+5)+7=4x+2`

Given

Step 2:
`2x+(5+7)=4x+2`

Reason:Using associative property

Step 3:
`2x+12=4x+2`

Reason: Using addition property of integers

Step 4:
`12-2=4x-2x`

Reason: Using subtraction property of equality

Step 5:
`10=4x-2x`

Reason: Subtraction property of integers

Step 6:
`10=2x`

Reason:Combine like terms

Step 7:
`x=(10)/(2)`

Reason:Division property of equality

Step 8:
`x=5`

Reason: Simplification