Solve −4(2x − 1) = −6(x + 2) − 2

An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

Answer: The value of x for the equation −4(2x − 1) = −6(x + 2) − 2 is 9.

Let's solve the given equation −4(2x − 1) = −6(x + 2) − 2.

Explanation:

−4(2x − 1) = −6(x + 2) − 2

⇒ -8x + 4 = -6x -12 - 2    (By using distributive property)

⇒ -8x + 6x = -12 - 2 - 4  (By combining like terms)

⇒ -2x = -18

⇒ x = 9 

Thus, the value of x for the equation −4(2x − 1) = −6(x + 2) − 2 is 9.