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What should be the first step to solve the equation?

[tex]\[ 2x + 9(x - 1) = 8(2x + 2) - 5 \][/tex]

A. Combine like terms on each side of the equation.
B. Use the distributive property on each side of the equation.
C. Use the subtraction property of equality to subtract 5 from each side of the equation.
D. Use the addition property of equality to add [tex]\( 2x \)[/tex] to each side of the equation.



Answer :

GinnyAnswer
To solve the equation:
[tex]\[ 2x + 9(x - 1) = 8(2x + 2) - 5, \][/tex]
you should begin by using the distributive property on both sides of the equation. Here's the detailed step-by-step process:

1. Use the distributive property on the left side of the equation:
[tex]\[ 2x + 9(x - 1) \][/tex]
Distribute the [tex]\( 9 \)[/tex] across the terms inside the parenthesis:
[tex]\[ 2x + 9x - 9 \][/tex]

2. Use the distributive property on the right side of the equation:
[tex]\[ 8(2x + 2) - 5 \][/tex]
Distribute the [tex]\( 8 \)[/tex] across the terms inside the parenthesis:
[tex]\[ 16x + 16 - 5 \][/tex]

Therefore, the correct first step to solve the equation [tex]\[ 2x + 9(x - 1) = 8(2x + 2) - 5 \][/tex] is to use the distributive property on each side of the equation.

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