Sure, let's solve the equation [tex]\( 5x + 6 = 21 \)[/tex] step-by-step.
1. Understanding the Equation:
We have the equation:
[tex]\[
5x + 6 = 21
\][/tex]
2. Subtraction Property of Equality:
According to the Subtraction Property of Equality, if we subtract the same number from both sides of the equation, the equality remains true.
We need to isolate [tex]\( 5x \)[/tex] on one side of the equation. To do this, we subtract 6 from both sides:
[tex]\[
5x + 6 - 6 = 21 - 6
\][/tex]
3. Simplifying:
By performing the subtraction on both sides:
[tex]\[
5x = 15
\][/tex]
So, the Subtraction Property of Equality lets us deduce that:
[tex]\[
5x = 15
\][/tex]
The complete steps lead to the equation [tex]\( 5x = 15 \)[/tex].
