Which of the following is an equivalent form of (2x+3)-(7x-6)? Choose 1 answer: (A) -5x-3 (B) -5x+9 (c) 4x (D) 9x-3

Distribute negative sign: Subtract the second expression from the first expression by distributing the negative sign across the second expression. This means we change the sign of each term inside the parentheses that is being subtracted. (2x + 3) - (7x - 6) = 2x + 3 - 7x + 6Combine like terms: Combine like terms by adding or subtracting the coefficients of the x terms and the constant terms separately. 2x - 7x + 3 + 6 = -5x + 9Check result: Check the result to ensure that all like terms have been combined correctly and that no arithmetic errors have been made. -5x + 9 is the simplified form of the original expression, and there are no further simplifications possible.

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Which of the following is an equivalent form of
(2x+3)-(7x-6)?
Choose 1 answer:
(A)
-5x-3
(B)
-5x+9
(c)
4x
(D)
9x-3

Which of the following is an equivalent form of $(2 x+3)-(7 x-6) ?$ $\newline$ Choose $1$ answer: $\newline$ (A) $-5 x-3$ $\newline$ (B) $-5 x+9$ $\newline$ (C) $4 x$ $\newline$ (D) $9 x-3$

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Math Problems

Grade 7

Identify equivalent linear expressions I

Full solution

Q. Which of the following is an equivalent form of

(2 x+3)-(7 x-6) ?

\newline

Choose

1

answer:

\newline

(A)

-5 x-3

\newline

(B)

-5 x+9

\newline

(C)

4 x

\newline

(D)

9 x-3

Distribute negative sign: Subtract the second expression from the first expression by distributing the negative sign across the second expression. This means we change the sign of each term inside the parentheses that is being subtracted. $\newline$ $(2x + 3) - (7x - 6) = 2x + 3 - 7x + 6$
Combine like terms: Combine like terms by adding or subtracting the coefficients of the $x$ terms and the constant terms separately. $2x - 7x + 3 + 6 = -5x + 9$
Check result: Check the result to ensure that all like terms have been combined correctly and that no arithmetic errors have been made. $\newline$ $-5x + 9$ is the simplified form of the original expression, and there are no further simplifications possible.