Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Sep 27, 2023

Subtract the expressions: $3x + 7 - (5x - 2)$ .

STEP 1

Assumptions1. We are given two expressions $(3x+7)$ and $(5x-)$ . . We need to subtract the second expression from the first.

STEP 2

To subtract the expressions, we need to distribute the negative sign to each term in the second expression. This changes the sign of each term.
$-(5x -2) = -5x +2$

STEP 3

Now, we can subtract the second expression from the first by combining like terms.
$(3x +7) - (5x -2) =3x +7 -5x +2$

STEP 4

Combine the $x$ terms and the constant terms separately.
$= (3x -x) + (7 +2)$

STEP 5

Calculate the value of each expression.
$= -2x +9$ The result of subtracting $(5x -2)$ from $(3x +7)$ is $-2x +9$ .

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