Which expression is an equivalent expression?

The equivalent of the given expression: 2(¼x - 8) + (¼x + 6) is ¾x - 10

Step-by-step explanation:

Given.

Expression: 2(¼x - 8) + (¼x + 6)

To get an equivalent expression, we have to simplify the above expression

2(¼x - 8) + (¼x + 6)

First, open the brackets.

2 * ¼x - 2 * 8. + ¼x + 6

Perform multiplication operations

½x - 16 + ¼x + 6

Collect like terms

½x + ¼x - 16 + 6

Take LCM of ½x and ¼x (LCM is 4); then solve

(2x + x)/4 - 16 + 6.

Solve bracket

3x/4 - 16 + 6

¾x - 10

Hence, the equivalent of the given expression: 2(¼x - 8) + (¼x + 6) is ¾x - 10

true

step-by-step explanation:

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get