Question

I need to know the property of each step in the equation3(x-2)+5x=26

Answer 1

The equation is,

`3(x-2)+5x=26`

Step-by-step explanation:

The given equation is 3(x - 2) + 5x = 26. So,

`3(x-2)+5x=26\text{ (Given Equation)}`

Simplify the equation by using distributive property of multiplication.

`\begin{gathered} 3(x-2)+5x=26 \\ 3\cdot x-2\cdot3+5x=26 \\ 3x-6+5x=26 \end{gathered}`

So 3x - 6 + 5x = 26 is obtained by Distributive property.

Simplify the equation further.

`\begin{gathered} 3x-6+5x=26 \\ 8x-6=26 \end{gathered}`

The equation 8x - 6 = 26 is obtained by combining like terms.

`\begin{gathered} 8x-6+6=26+6 \\ 8x=32 \end{gathered}`

So equation 8x = 32 is obtained by using addition or subtraction property of equality.

`\begin{gathered} (8x)/(8)=(32)/(8) \\ x=4 \end{gathered}`

The equation x = 4 is obtained by multiplication or division property of equality.

Answer:

3(x-2)+5x=26: Given

3x - 6 + 5x = 26: Distributive property

8x - 6 = 26: Combine like terms

8x = 32: Addition or Subtraction Property of Equality

x = 4: Multiplication or Division Property of Equality