What is the value of x in this proportion?

5/6=−4/x+2
PLEASeE

x = 2.8

Step-by-step explanation:

5/6 = 4/x+2

Cross multiply:

5 * x + 2 = 6 * 4

Simplifying

5 * x + 2 = 6 * 4

Reorder the terms:

5 * 2 + x = 6 * 4

2 * 5 + x * 5 = 6 * 4

10 + 5x = 6 * 4

Multiply 6 * 4

10 + 5x = 24

Solving

10 + 5x = 24

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10' to each side of the equation.

10 + -10 + 5x = 24 + -10

Combine like terms: 10 + -10 = 0

0 + 5x = 24 + -10

5x = 24 + -10

Combine like terms: 24 + -10 = 14

5x = 14

Divide each side by '5'.

x = 2.8

Simplifying

x = 2.8

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.

14

step-by-step explanation: