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Justify Solution Paths of Linear Equations
3(x−2)+5x=26 (What property is this?)
3x−6+5x=26 (What property is this?)
8x−6=26 (What property is this?)
8x=32 (What property is this?)
x=4 (What property is this?)


Here are a list of the properties-

Subtraction Property of Equality
Addition Property of Equality
Multiplication Property of Equality
Division Property of Equality
Combine Like Terms
Distributive Property
Given Equation

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isyllus

Answer:

[tex]3(x-2)+5x=26[/tex] (Given Equation)

[tex]3x-6+5x=26[/tex] (Distributive Property)

[tex]8x-6=26[/tex] (Combine Like Terms)

[tex]8x=32[/tex] (Addition Property of Equality)

[tex]x=4[/tex] (Division Property of Equality)

Step-by-step explanation:

To justify the solution paths of linear equations.

[tex]3(x-2)+5x=26[/tex] (It is the Given Equation)

Here, 3 has to be multiplied with the term [tex](x-2)[/tex], so the distributive property applies.

Therefore, [tex]3x-6+5x=26[/tex]

Here, the like terms with [tex]x[/tex] in it will have to solved by combining them into one.

Therefore, [tex]8x-6=26[/tex]

Here, we add 6 to both sides.

[tex]8x=32[/tex]

Now, divide the both sides with 8.

[tex]x=4[/tex]

Therefore, the answer is:

[tex]3(x-2)+5x=26[/tex] (Given Equation)

[tex]3x-6+5x=26[/tex] (Distributive Property)

[tex]8x-6=26[/tex] (Combine Like Terms)

[tex]8x=32[/tex] (Addition Property of Equality)

[tex]x=4[/tex] (Division Property of Equality)

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