The equation is,
[tex]3(x-2)+5x=26[/tex]
Explanation:
The given equation is 3(x - 2) + 5x = 26. So,
[tex]3(x-2)+5x=26\text{ (Given Equation)}[/tex]
Simplify the equation by using distributive property of multiplication.
[tex]\begin{gathered} 3(x-2)+5x=26 \\ 3\cdot x-2\cdot3+5x=26 \\ 3x-6+5x=26 \end{gathered}[/tex]
So 3x - 6 + 5x = 26 is obtained by Distributive property.
Simplify the equation further.
[tex]\begin{gathered} 3x-6+5x=26 \\ 8x-6=26 \end{gathered}[/tex]
The equation 8x - 6 = 26 is obtained by combining like terms.
[tex]\begin{gathered} 8x-6+6=26+6 \\ 8x=32 \end{gathered}[/tex]
So equation 8x = 32 is obtained by using addition or subtraction property of equality.
[tex]\begin{gathered} \frac{8x}{8}=\frac{32}{8} \\ x=4 \end{gathered}[/tex]
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
