To solve the equation [tex]\( 28x - 56 = 22x - 65 \)[/tex], we follow these steps:
1. First, get the variable on the left-hand side of the equation by subtracting [tex]\( 22x \)[/tex] from both sides:
[tex]\[ 28x - 22x - 56 = 22x - 22x - 65 \][/tex]
Simplifying this, we obtain:
[tex]\[ 6x - 56 = -65 \][/tex]
2. Next, use the addition property of equality to isolate the variable [tex]\( x \)[/tex]. This property involves adding or subtracting the same amount from both sides of the equation to maintain equality.
Therefore, filling in the blanks:
First, get the variable on the left-hand side of the equation by subtracting [tex]\( 22x \)[/tex] from both sides to get [tex]\( 6x - 56 = -65 \)[/tex]. Next, use the addition property of equality to isolate the variable.
In summary:
[tex]\[ 28x - 56 - 22x = 22x - 65 - 22x \implies 6x - 56 = -65 \][/tex]
In the next step, you would solve for [tex]\( x \)[/tex] by adding 56 to both sides and then dividing by 6, but the provided solution stops at this equation.
