Question

X +5/9x=2{3-x} How do i solve it

Answer 1

Answer:

x = 27/16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define equation

x + 5/9x = 2(3 - x)

Step 2: Solve for x

1. Distribute 2:                              x + 5/9x = 6 - 2x
2. Combine like terms:                 14/9x = 6 - 2x
3. Add 2x on both sides:              32/9x = 6
4. Divide 32/9 on both sides:      x = 27/16

Step 3: Check

Plug in x into the original equation to verify it's a solution.

1. Substitute in x:                    27/16 + 5/9(27/16) = 2(3 - 27/16)
2. Multiply:                               27/16 + 15/16 = 2(3 - 27/16)
3. Subtract:                              27/16 + 15/16 = 2(21/16)
4. Multiply:                               27/16 + 15/16 = 21/8
5. Add:                                     21/8 = 21/8

Here we see that 21/8 does indeed equal 21/8.

∴ x = 27/16 is a solution to the equation.