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Fill in the blanks to complete the description of how to solve the equation.
[tex]\[ 28x - 56 = 22x - 65 \][/tex]

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, isolate the variable by adding [tex]\[ 56 \][/tex] to both sides to get [tex]\[ 6x = -9 \][/tex]. Finally, divide both sides by [tex]\[ 6 \][/tex] to find [tex]\[ x = -\frac{3}{2} \][/tex].



Answer :

GinnyAnswer
Let's correct and complete the description of how to solve the equation step-by-step:

Given the equation:
[tex]\[ 28x - 56 = 22x - 65 \][/tex]

First, get the variable on the left-hand side of the equation by subtracting [tex]\( 22x \)[/tex] from both sides:

[tex]\[ 28x - 22x - 56 = -65 \][/tex]

This simplifies to:

[tex]\[ 6x - 56 = -65 \][/tex]

Next, add 56 to both sides to isolate the term containing the variable:

[tex]\[ 6x - 56 + 56 = -65 + 56 \][/tex]

This simplifies to:

[tex]\[ 6x = -9 \][/tex]

Finally, divide both sides by 6 to solve for [tex]\( x \)[/tex]:

[tex]\[ x = \frac{-9}{6} = \frac{-3}{2} \][/tex]

So the solution to the equation is:

[tex]\[ x = -\frac{3}{2} \][/tex]