Ashleenbondidn
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What is the justification for step 2 in the solution process?

[tex]\[
12 - x = 7x + 32
\][/tex]

Step 1: [tex]\(-x = 7x + 20\)[/tex]
Step 2: [tex]\(-8x = 20\)[/tex]

A. The addition property of equality
B. The subtraction property of equality
C. The division property of equality
D. The multiplication property of equality

Sagot :

GinnyAnsweridn
Let's solve the equation step by step:

The given equation is:
[tex]\[ 12 - x = 7x + 32 \][/tex]

Step 1: Move all terms involving [tex]\( x \)[/tex] to one side of the equation and constant terms to the other side.
[tex]\[ 12 - x - 7x = 7x + 32 - 7x \][/tex]
[tex]\[ 12 - 8x = 32 \][/tex]

Step 2: Simplify the equation from Step 1 to isolate [tex]\( x \)[/tex].
[tex]\[ -8x = 32 - 12 \][/tex]
[tex]\[ -8x = 20 \][/tex]

The justification for isolating the [tex]\( x \)[/tex] term involves rearranging the equation by subtracting [tex]\( 12 \)[/tex] from both sides, which leads us to:
[tex]\[ -8x = 20 \][/tex]

Therefore, the correct justification corresponds to the subtraction property of equality because we are subtracting the same amount (12) from both sides of the equation.

B. the subtraction property of equality
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